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    <link:label id="lab_hgit_DepreciationAndAmortization1_E2686C04A67252AAE9272D218BD4C60C_terseLabel_en-US" xlink:label="lab_hgit_DepreciationAndAmortization1_E2686C04A67252AAE9272D218BD4C60C" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Depreciation and amortization</link:label>
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    <link:label id="lab_us-gaap_ForeignCurrencyTransactionGainLossBeforeTax_9BD4C49D358E88B0FA5B2D218BD411E4_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_ForeignCurrencyTransactionGainLossBeforeTax_9BD4C49D358E88B0FA5B2D218BD411E4" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Foreign currency (gains) losses</link:label>
    <link:label id="lab_us-gaap_ForeignCurrencyTransactionGainLossBeforeTax_9BD4C49D358E88B0FA5B2D218BD411E4_label_en-US" xlink:label="lab_us-gaap_ForeignCurrencyTransactionGainLossBeforeTax_9BD4C49D358E88B0FA5B2D218BD411E4" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Foreign Currency Transaction Gain (Loss), before Tax</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_ForeignCurrencyTransactionGainLossBeforeTax" xlink:label="loc_us-gaap_ForeignCurrencyTransactionGainLossBeforeTax_9BD4C49D358E88B0FA5B2D218BD411E4" xlink:type="locator" />
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    <link:label id="lab_us-gaap_UnrealizedGainLossOnDerivatives_0BF76B049259BD0ADC452D218BD4B552_label_en-US" xlink:label="lab_us-gaap_UnrealizedGainLossOnDerivatives_0BF76B049259BD0ADC452D218BD4B552" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Unrealized Gain (Loss) on Derivatives</link:label>
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    <link:label id="lab_us-gaap_DebtSecuritiesTradingGainLoss_C0590F3B03F29E3053402D218BD44DDD_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_DebtSecuritiesTradingGainLoss_C0590F3B03F29E3053402D218BD44DDD" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">(Gain) loss on investments in real estate-related securities</link:label>
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    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_PaymentsToAcquireRealEstateHeldForInvestment" xlink:label="loc_us-gaap_PaymentsToAcquireRealEstateHeldForInvestment_E0A05A954BB65F66D25A2D218BD8B2CD" xlink:type="locator" />
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    <link:label id="lab_us-gaap_PaymentsForCapitalImprovements_C2CF3387189409DD65402D218BD89A60_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_PaymentsForCapitalImprovements_C2CF3387189409DD65402D218BD89A60" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Capital expenditures at operating properties</link:label>
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    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_PaymentsForCapitalImprovements" xlink:label="loc_us-gaap_PaymentsForCapitalImprovements_C2CF3387189409DD65402D218BD89A60" xlink:type="locator" />
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    <link:label id="lab_hgit_GlasgowWestEndMember_2F597B508D03FDB7DCBA2D21892DA1B4_terseLabel_en-US" xlink:label="lab_hgit_GlasgowWestEndMember_2F597B508D03FDB7DCBA2D21892DA1B4" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Glasgow West End</link:label>
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    <link:label id="lab_hgit_LodzUrbanLogisticsMember_7F5F30676A3078E65C652D218931E575_terseLabel_en-US" xlink:label="lab_hgit_LodzUrbanLogisticsMember_7F5F30676A3078E65C652D218931E575" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Lodz Urban Logistics</link:label>
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    <link:label id="lab_hgit_CommonClassTMember_4CF3D3435E822A3F9B992D21882B2178_terseLabel_en-US" xlink:label="lab_hgit_CommonClassTMember_4CF3D3435E822A3F9B992D21882B2178" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Class T</link:label>
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    <link:label id="lab_hgit_CommonClassSMember_E9DF811704ED2C192CAE2D21882BCCB3_terseLabel_en-US" xlink:label="lab_hgit_CommonClassSMember_E9DF811704ED2C192CAE2D21882BCCB3" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Class S</link:label>
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    <link:label id="lab_srt_RangeAxis_578014BD61D51B1957882D2188335359_label_en-US" xlink:label="lab_srt_RangeAxis_578014BD61D51B1957882D2188335359" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Statistical Measurement [Axis]</link:label>
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    <link:label id="lab_srt_RangeMember_AEC710F1ADAFA62AADAB2D218833C4B7_label_en-US" xlink:label="lab_srt_RangeMember_AEC710F1ADAFA62AADAB2D218833C4B7" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Statistical Measurement [Domain]</link:label>
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    <link:label id="lab_us-gaap_RelatedPartyTransactionsByRelatedPartyAxis_D3743A91AEF8AAF46CD32D218833771D_label_en-US" xlink:label="lab_us-gaap_RelatedPartyTransactionsByRelatedPartyAxis_D3743A91AEF8AAF46CD32D218833771D" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Related Party [Axis]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_RelatedPartyTransactionsByRelatedPartyAxis" xlink:label="loc_us-gaap_RelatedPartyTransactionsByRelatedPartyAxis_D3743A91AEF8AAF46CD32D218833771D" xlink:type="locator" />
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    <link:label id="lab_us-gaap_RelatedPartyDomain_EC9D151CEA286D9A0FE62D218837FF91_label_en-US" xlink:label="lab_us-gaap_RelatedPartyDomain_EC9D151CEA286D9A0FE62D218837FF91" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Related Party [Domain]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_RelatedPartyDomain" xlink:label="loc_us-gaap_RelatedPartyDomain_EC9D151CEA286D9A0FE62D218837FF91" xlink:type="locator" />
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    <link:label id="lab_hgit_DealerManagerMember_90CB6F480F816C0462FD2D218837FF52_terseLabel_en-US" xlink:label="lab_hgit_DealerManagerMember_90CB6F480F816C0462FD2D218837FF52" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Dealer Manager</link:label>
    <link:label id="lab_hgit_DealerManagerMember_90CB6F480F816C0462FD2D218837FF52_label_en-US" xlink:label="lab_hgit_DealerManagerMember_90CB6F480F816C0462FD2D218837FF52" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Dealer Manager [Member]</link:label>
    <link:label id="lab_hgit_DealerManagerMember_90CB6F480F816C0462FD2D218837FF52_documentation_en-US" xlink:label="lab_hgit_DealerManagerMember_90CB6F480F816C0462FD2D218837FF52" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">The Dealer Manager, Hines Securities, Inc.</link:label>
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    <link:label id="lab_us-gaap_RelatedPartyTransactionAxis_EC721060D40D18D3AD5D2D218837B0BD_label_en-US" xlink:label="lab_us-gaap_RelatedPartyTransactionAxis_EC721060D40D18D3AD5D2D218837B0BD" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Related Party Transaction [Axis]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_RelatedPartyTransactionAxis" xlink:label="loc_us-gaap_RelatedPartyTransactionAxis_EC721060D40D18D3AD5D2D218837B0BD" xlink:type="locator" />
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    <link:label id="lab_us-gaap_RelatedPartyTransactionDomain_C48341D368FE41710F292D2188374A5B_label_en-US" xlink:label="lab_us-gaap_RelatedPartyTransactionDomain_C48341D368FE41710F292D2188374A5B" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Related Party Transaction [Domain]</link:label>
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    <link:label id="lab_hgit_SellingCommissionsMember_8E3F13A6612B9EB80DDA2D218837C0EC_terseLabel_en-US" xlink:label="lab_hgit_SellingCommissionsMember_8E3F13A6612B9EB80DDA2D218837C0EC" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Selling Commissions</link:label>
    <link:label id="lab_hgit_SellingCommissionsMember_8E3F13A6612B9EB80DDA2D218837C0EC_label_en-US" xlink:label="lab_hgit_SellingCommissionsMember_8E3F13A6612B9EB80DDA2D218837C0EC" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Selling Commissions [Member]</link:label>
    <link:label id="lab_hgit_SellingCommissionsMember_8E3F13A6612B9EB80DDA2D218837C0EC_documentation_en-US" xlink:label="lab_hgit_SellingCommissionsMember_8E3F13A6612B9EB80DDA2D218837C0EC" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Selling Commissions [Member]</link:label>
    <link:loc xlink:href="hgit-20191231.xsd#hgit_SellingCommissionsMember" xlink:label="loc_hgit_SellingCommissionsMember_8E3F13A6612B9EB80DDA2D218837C0EC" xlink:type="locator" />
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    <link:label id="lab_hgit_DealerManagerFeeMember_30F9CCA7C5728231E65B2D2188376495_terseLabel_en-US" xlink:label="lab_hgit_DealerManagerFeeMember_30F9CCA7C5728231E65B2D2188376495" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Dealer Manager Fee</link:label>
    <link:label id="lab_hgit_DealerManagerFeeMember_30F9CCA7C5728231E65B2D2188376495_label_en-US" xlink:label="lab_hgit_DealerManagerFeeMember_30F9CCA7C5728231E65B2D2188376495" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Dealer Manager Fee [Member]</link:label>
    <link:label id="lab_hgit_DealerManagerFeeMember_30F9CCA7C5728231E65B2D2188376495_documentation_en-US" xlink:label="lab_hgit_DealerManagerFeeMember_30F9CCA7C5728231E65B2D2188376495" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">The dealer manager fee based on gross offering proceeds.</link:label>
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    <link:label id="lab_hgit_RelatedPartyFeePercentage_78DF5CC9461D19FD47EB2D2188379BE7_documentation_en-US" xlink:label="lab_hgit_RelatedPartyFeePercentage_78DF5CC9461D19FD47EB2D2188379BE7" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Identifies the stated percentage per the agreement, for example, asset management and acquisition fees between related parties.</link:label>
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    <link:loc xlink:href="hgit-20191231.xsd#hgit_LeasingFeeMember" xlink:label="loc_hgit_LeasingFeeMember_18430BC9E638E42C4FD32D2188632DA3" xlink:type="locator" />
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    <link:label id="lab_hgit_DomainApartmentsMember_3223174D6F4927C35F892D21897CF22A_documentation_en-US" xlink:label="lab_hgit_DomainApartmentsMember_3223174D6F4927C35F892D21897CF22A" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Domain Apartments</link:label>
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    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_hgit_DomainApartmentsMember_3223174D6F4927C35F892D21897CF22A" xlink:to="lab_hgit_DomainApartmentsMember_3223174D6F4927C35F892D21897CF22A" xlink:type="arc" />
    <link:label id="lab_hgit_CottonwoodCorporateCenterMember_5656C7A4AB705E4110FF2D21897C5247_terseLabel_en-US" xlink:label="lab_hgit_CottonwoodCorporateCenterMember_5656C7A4AB705E4110FF2D21897C5247" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Cottonwood Corporate Center</link:label>
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    <link:label id="lab_hgit_CottonwoodCorporateCenterMember_5656C7A4AB705E4110FF2D21897C5247_documentation_en-US" xlink:label="lab_hgit_CottonwoodCorporateCenterMember_5656C7A4AB705E4110FF2D21897C5247" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Cottonwood Corporate Center</link:label>
    <link:loc xlink:href="hgit-20191231.xsd#hgit_CottonwoodCorporateCenterMember" xlink:label="loc_hgit_CottonwoodCorporateCenterMember_5656C7A4AB705E4110FF2D21897C5247" xlink:type="locator" />
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    <link:label id="lab_hgit_GoodyearCrossingIIMember_FA59E76E43BDB5E46DAE2D21897CCF21_label_en-US" xlink:label="lab_hgit_GoodyearCrossingIIMember_FA59E76E43BDB5E46DAE2D21897CCF21" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Goodyear Crossing II [Member]</link:label>
    <link:label id="lab_hgit_GoodyearCrossingIIMember_FA59E76E43BDB5E46DAE2D21897CCF21_documentation_en-US" xlink:label="lab_hgit_GoodyearCrossingIIMember_FA59E76E43BDB5E46DAE2D21897CCF21" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Goodyear Crossing II</link:label>
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    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_hgit_GoodyearCrossingIIMember_FA59E76E43BDB5E46DAE2D21897CCF21" xlink:to="lab_hgit_GoodyearCrossingIIMember_FA59E76E43BDB5E46DAE2D21897CCF21" xlink:type="arc" />
    <link:label id="lab_hgit_RookwoodCommonsMember_44725D8C6455039C7ABC2D21897C7D85_terseLabel_en-US" xlink:label="lab_hgit_RookwoodCommonsMember_44725D8C6455039C7ABC2D21897C7D85" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Rookwood Commons</link:label>
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    <link:label id="lab_hgit_RookwoodCommonsMember_44725D8C6455039C7ABC2D21897C7D85_documentation_en-US" xlink:label="lab_hgit_RookwoodCommonsMember_44725D8C6455039C7ABC2D21897C7D85" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Rookwood Commons</link:label>
    <link:loc xlink:href="hgit-20191231.xsd#hgit_RookwoodCommonsMember" xlink:label="loc_hgit_RookwoodCommonsMember_44725D8C6455039C7ABC2D21897C7D85" xlink:type="locator" />
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    <link:label id="lab_hgit_RookwoodPavilionMember_C86C47BEB04FBA9A09A72D2189804972_terseLabel_en-US" xlink:label="lab_hgit_RookwoodPavilionMember_C86C47BEB04FBA9A09A72D2189804972" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Rookwood Pavilion</link:label>
    <link:label id="lab_hgit_RookwoodPavilionMember_C86C47BEB04FBA9A09A72D2189804972_label_en-US" xlink:label="lab_hgit_RookwoodPavilionMember_C86C47BEB04FBA9A09A72D2189804972" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Rookwood Pavilion [Member]</link:label>
    <link:label id="lab_hgit_RookwoodPavilionMember_C86C47BEB04FBA9A09A72D2189804972_documentation_en-US" xlink:label="lab_hgit_RookwoodPavilionMember_C86C47BEB04FBA9A09A72D2189804972" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Rookwood Pavilion</link:label>
    <link:loc xlink:href="hgit-20191231.xsd#hgit_RookwoodPavilionMember" xlink:label="loc_hgit_RookwoodPavilionMember_C86C47BEB04FBA9A09A72D2189804972" xlink:type="locator" />
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    <link:label id="lab_us-gaap_CreditFacilityAxis_E7BAD4BDAB4AB9F1395C2D2189802713_label_en-US" xlink:label="lab_us-gaap_CreditFacilityAxis_E7BAD4BDAB4AB9F1395C2D2189802713" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Credit Facility [Axis]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_CreditFacilityAxis" xlink:label="loc_us-gaap_CreditFacilityAxis_E7BAD4BDAB4AB9F1395C2D2189802713" xlink:type="locator" />
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    <link:label id="lab_us-gaap_CreditFacilityDomain_1AE25BDBC449BC96125A2D21898027B2_terseLabel_en-US" xlink:label="lab_us-gaap_CreditFacilityDomain_1AE25BDBC449BC96125A2D21898027B2" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Credit Facility [Domain]</link:label>
    <link:label id="lab_us-gaap_CreditFacilityDomain_1AE25BDBC449BC96125A2D21898027B2_label_en-US" xlink:label="lab_us-gaap_CreditFacilityDomain_1AE25BDBC449BC96125A2D21898027B2" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Credit Facility [Domain]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_CreditFacilityDomain" xlink:label="loc_us-gaap_CreditFacilityDomain_1AE25BDBC449BC96125A2D21898027B2" xlink:type="locator" />
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    <link:label id="lab_us-gaap_RevolvingCreditFacilityMember_9F7BD75243E974910A4D2D218980FB9C_terseLabel_en-US" xlink:label="lab_us-gaap_RevolvingCreditFacilityMember_9F7BD75243E974910A4D2D218980FB9C" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Revolving Credit Facility</link:label>
    <link:label id="lab_us-gaap_RevolvingCreditFacilityMember_9F7BD75243E974910A4D2D218980FB9C_label_en-US" xlink:label="lab_us-gaap_RevolvingCreditFacilityMember_9F7BD75243E974910A4D2D218980FB9C" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Revolving Credit Facility [Member]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_RevolvingCreditFacilityMember" xlink:label="loc_us-gaap_RevolvingCreditFacilityMember_9F7BD75243E974910A4D2D218980FB9C" xlink:type="locator" />
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    <link:label id="lab_us-gaap_LineOfCreditMember_DEA045B59BA2CA19D1282D2189841A22_terseLabel_en-US" xlink:label="lab_us-gaap_LineOfCreditMember_DEA045B59BA2CA19D1282D2189841A22" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Line of Credit</link:label>
    <link:label id="lab_us-gaap_LineOfCreditMember_DEA045B59BA2CA19D1282D2189841A22_label_en-US" xlink:label="lab_us-gaap_LineOfCreditMember_DEA045B59BA2CA19D1282D2189841A22" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Line of Credit [Member]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_LineOfCreditMember" xlink:label="loc_us-gaap_LineOfCreditMember_DEA045B59BA2CA19D1282D2189841A22" xlink:type="locator" />
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    <link:label id="lab_hgit_HinesCreditFacilityMember_E1388F33978A85E72B692D2189842A93_terseLabel_en-US" xlink:label="lab_hgit_HinesCreditFacilityMember_E1388F33978A85E72B692D2189842A93" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Credit Facility</link:label>
    <link:label id="lab_hgit_HinesCreditFacilityMember_E1388F33978A85E72B692D2189842A93_label_en-US" xlink:label="lab_hgit_HinesCreditFacilityMember_E1388F33978A85E72B692D2189842A93" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Hines Credit Facility [Member]</link:label>
    <link:label id="lab_hgit_HinesCreditFacilityMember_E1388F33978A85E72B692D2189842A93_documentation_en-US" xlink:label="lab_hgit_HinesCreditFacilityMember_E1388F33978A85E72B692D2189842A93" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">A credit facility between Hines Global REIT II, Inc. and Hines Interests Limited Partnership.</link:label>
    <link:loc xlink:href="hgit-20191231.xsd#hgit_HinesCreditFacilityMember" xlink:label="loc_hgit_HinesCreditFacilityMember_E1388F33978A85E72B692D2189842A93" xlink:type="locator" />
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    <link:label id="lab_us-gaap_DebtInstrumentLineItems_E1667F1BEBFE4CB57B682D21898438B7_terseLabel_en-US" xlink:label="lab_us-gaap_DebtInstrumentLineItems_E1667F1BEBFE4CB57B682D21898438B7" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Debt Instrument [Line Items]</link:label>
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    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_DebtInstrumentLineItems" xlink:label="loc_us-gaap_DebtInstrumentLineItems_E1667F1BEBFE4CB57B682D21898438B7" xlink:type="locator" />
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    <link:label id="lab_us-gaap_DebtInstrumentInterestRateTerms_808A887496D895BADA412D2189880949_terseLabel_en-US" xlink:label="lab_us-gaap_DebtInstrumentInterestRateTerms_808A887496D895BADA412D2189880949" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Interest rate terms</link:label>
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    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_DebtInstrumentInterestRateTerms" xlink:label="loc_us-gaap_DebtInstrumentInterestRateTerms_808A887496D895BADA412D2189880949" xlink:type="locator" />
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    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_SelectedQuarterlyFinancialInformationAbstract" xlink:label="loc_us-gaap_SelectedQuarterlyFinancialInformationAbstract_1E47588B578C84204F062D218672E02A" xlink:type="locator" />
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    <link:label id="lab_us-gaap_Revenues_7858576CFD517DCA73402D218672F442_verboseLabel_en-US" xlink:label="lab_us-gaap_Revenues_7858576CFD517DCA73402D218672F442" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Revenues</link:label>
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    <link:label id="lab_us-gaap_NetIncomeLoss_7F6D03BAA59EAC1D85F12D218672407F_terseLabel_en-US" xlink:label="lab_us-gaap_NetIncomeLoss_7F6D03BAA59EAC1D85F12D218672407F" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Net income (loss) attributable to common stockholders</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_NetIncomeLoss" xlink:label="loc_us-gaap_NetIncomeLoss_7F6D03BAA59EAC1D85F12D218672407F" xlink:type="locator" />
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    <link:label id="lab_us-gaap_EarningsPerShareBasicAndDiluted_D471C3928304A970CAD52D21867A4CE4_verboseLabel_en-US" xlink:label="lab_us-gaap_EarningsPerShareBasicAndDiluted_D471C3928304A970CAD52D21867A4CE4" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Income (loss) per share, basic and diluted (usd per share)</link:label>
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    <link:label id="lab_us-gaap_LessorOperatingLeasePaymentsFiscalYearMaturityAbstract_BA5B297F15591F0F4D032D218AD83170_terseLabel_en-US" xlink:label="lab_us-gaap_LessorOperatingLeasePaymentsFiscalYearMaturityAbstract_BA5B297F15591F0F4D032D218AD83170" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Fixed Future Minimum Rentals</link:label>
    <link:label id="lab_us-gaap_LessorOperatingLeasePaymentsFiscalYearMaturityAbstract_BA5B297F15591F0F4D032D218AD83170_label_en-US" xlink:label="lab_us-gaap_LessorOperatingLeasePaymentsFiscalYearMaturityAbstract_BA5B297F15591F0F4D032D218AD83170" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Lessor, Operating Lease, Payments, Fiscal Year Maturity [Abstract]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_LessorOperatingLeasePaymentsFiscalYearMaturityAbstract" xlink:label="loc_us-gaap_LessorOperatingLeasePaymentsFiscalYearMaturityAbstract_BA5B297F15591F0F4D032D218AD83170" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LessorOperatingLeasePaymentsFiscalYearMaturityAbstract_BA5B297F15591F0F4D032D218AD83170" xlink:to="lab_us-gaap_LessorOperatingLeasePaymentsFiscalYearMaturityAbstract_BA5B297F15591F0F4D032D218AD83170" xlink:type="arc" />
    <link:label id="lab_us-gaap_LessorOperatingLeasePaymentsToBeReceivedNextTwelveMonths_EA7F723E7E279ACF7E102D218AD80083_terseLabel_en-US" xlink:label="lab_us-gaap_LessorOperatingLeasePaymentsToBeReceivedNextTwelveMonths_EA7F723E7E279ACF7E102D218AD80083" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">2020</link:label>
    <link:label id="lab_us-gaap_LessorOperatingLeasePaymentsToBeReceivedNextTwelveMonths_EA7F723E7E279ACF7E102D218AD80083_label_en-US" xlink:label="lab_us-gaap_LessorOperatingLeasePaymentsToBeReceivedNextTwelveMonths_EA7F723E7E279ACF7E102D218AD80083" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Lessor, Operating Lease, Payments to be Received, Next Twelve Months</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_LessorOperatingLeasePaymentsToBeReceivedNextTwelveMonths" xlink:label="loc_us-gaap_LessorOperatingLeasePaymentsToBeReceivedNextTwelveMonths_EA7F723E7E279ACF7E102D218AD80083" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LessorOperatingLeasePaymentsToBeReceivedNextTwelveMonths_EA7F723E7E279ACF7E102D218AD80083" xlink:to="lab_us-gaap_LessorOperatingLeasePaymentsToBeReceivedNextTwelveMonths_EA7F723E7E279ACF7E102D218AD80083" xlink:type="arc" />
    <link:label id="lab_us-gaap_LessorOperatingLeasePaymentsToBeReceivedTwoYears_B785662BE9663DDE7DCF2D218AD9358B_terseLabel_en-US" xlink:label="lab_us-gaap_LessorOperatingLeasePaymentsToBeReceivedTwoYears_B785662BE9663DDE7DCF2D218AD9358B" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">2021</link:label>
    <link:label id="lab_us-gaap_LessorOperatingLeasePaymentsToBeReceivedTwoYears_B785662BE9663DDE7DCF2D218AD9358B_label_en-US" xlink:label="lab_us-gaap_LessorOperatingLeasePaymentsToBeReceivedTwoYears_B785662BE9663DDE7DCF2D218AD9358B" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Lessor, Operating Lease, Payments to be Received, Two Years</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_LessorOperatingLeasePaymentsToBeReceivedTwoYears" xlink:label="loc_us-gaap_LessorOperatingLeasePaymentsToBeReceivedTwoYears_B785662BE9663DDE7DCF2D218AD9358B" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LessorOperatingLeasePaymentsToBeReceivedTwoYears_B785662BE9663DDE7DCF2D218AD9358B" xlink:to="lab_us-gaap_LessorOperatingLeasePaymentsToBeReceivedTwoYears_B785662BE9663DDE7DCF2D218AD9358B" xlink:type="arc" />
    <link:label id="lab_us-gaap_LessorOperatingLeasePaymentsToBeReceivedThreeYears_08AC613D526729FE3A752D218AD95322_terseLabel_en-US" xlink:label="lab_us-gaap_LessorOperatingLeasePaymentsToBeReceivedThreeYears_08AC613D526729FE3A752D218AD95322" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">2022</link:label>
    <link:label id="lab_us-gaap_LessorOperatingLeasePaymentsToBeReceivedThreeYears_08AC613D526729FE3A752D218AD95322_label_en-US" xlink:label="lab_us-gaap_LessorOperatingLeasePaymentsToBeReceivedThreeYears_08AC613D526729FE3A752D218AD95322" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Lessor, Operating Lease, Payments to be Received, Three Years</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_LessorOperatingLeasePaymentsToBeReceivedThreeYears" xlink:label="loc_us-gaap_LessorOperatingLeasePaymentsToBeReceivedThreeYears_08AC613D526729FE3A752D218AD95322" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LessorOperatingLeasePaymentsToBeReceivedThreeYears_08AC613D526729FE3A752D218AD95322" xlink:to="lab_us-gaap_LessorOperatingLeasePaymentsToBeReceivedThreeYears_08AC613D526729FE3A752D218AD95322" xlink:type="arc" />
    <link:label id="lab_us-gaap_LessorOperatingLeasePaymentsToBeReceivedFourYears_915F181E6A75DFD421A52D218AD92AEA_terseLabel_en-US" xlink:label="lab_us-gaap_LessorOperatingLeasePaymentsToBeReceivedFourYears_915F181E6A75DFD421A52D218AD92AEA" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">2023</link:label>
    <link:label id="lab_us-gaap_LessorOperatingLeasePaymentsToBeReceivedFourYears_915F181E6A75DFD421A52D218AD92AEA_label_en-US" xlink:label="lab_us-gaap_LessorOperatingLeasePaymentsToBeReceivedFourYears_915F181E6A75DFD421A52D218AD92AEA" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Lessor, Operating Lease, Payments to be Received, Four Years</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_LessorOperatingLeasePaymentsToBeReceivedFourYears" xlink:label="loc_us-gaap_LessorOperatingLeasePaymentsToBeReceivedFourYears_915F181E6A75DFD421A52D218AD92AEA" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LessorOperatingLeasePaymentsToBeReceivedFourYears_915F181E6A75DFD421A52D218AD92AEA" xlink:to="lab_us-gaap_LessorOperatingLeasePaymentsToBeReceivedFourYears_915F181E6A75DFD421A52D218AD92AEA" xlink:type="arc" />
    <link:label id="lab_us-gaap_LessorOperatingLeasePaymentsToBeReceivedFiveYears_5DFAAEBAF0E83376F5B42D218AD902C1_terseLabel_en-US" xlink:label="lab_us-gaap_LessorOperatingLeasePaymentsToBeReceivedFiveYears_5DFAAEBAF0E83376F5B42D218AD902C1" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">2024</link:label>
    <link:label id="lab_us-gaap_LessorOperatingLeasePaymentsToBeReceivedFiveYears_5DFAAEBAF0E83376F5B42D218AD902C1_label_en-US" xlink:label="lab_us-gaap_LessorOperatingLeasePaymentsToBeReceivedFiveYears_5DFAAEBAF0E83376F5B42D218AD902C1" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Lessor, Operating Lease, Payments to be Received, Five Years</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_LessorOperatingLeasePaymentsToBeReceivedFiveYears" xlink:label="loc_us-gaap_LessorOperatingLeasePaymentsToBeReceivedFiveYears_5DFAAEBAF0E83376F5B42D218AD902C1" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LessorOperatingLeasePaymentsToBeReceivedFiveYears_5DFAAEBAF0E83376F5B42D218AD902C1" xlink:to="lab_us-gaap_LessorOperatingLeasePaymentsToBeReceivedFiveYears_5DFAAEBAF0E83376F5B42D218AD902C1" xlink:type="arc" />
    <link:label id="lab_us-gaap_LessorOperatingLeasePaymentsToBeReceivedThereafter_524807095A95ECC70A372D218AD9FADB_terseLabel_en-US" xlink:label="lab_us-gaap_LessorOperatingLeasePaymentsToBeReceivedThereafter_524807095A95ECC70A372D218AD9FADB" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Thereafter</link:label>
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    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_LessorOperatingLeasePaymentsToBeReceivedThereafter" xlink:label="loc_us-gaap_LessorOperatingLeasePaymentsToBeReceivedThereafter_524807095A95ECC70A372D218AD9FADB" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LessorOperatingLeasePaymentsToBeReceivedThereafter_524807095A95ECC70A372D218AD9FADB" xlink:to="lab_us-gaap_LessorOperatingLeasePaymentsToBeReceivedThereafter_524807095A95ECC70A372D218AD9FADB" xlink:type="arc" />
    <link:label id="lab_us-gaap_LessorOperatingLeasePaymentsToBeReceived_518AFBE5D67BCD881FAA2D218AD98B31_terseLabel_en-US" xlink:label="lab_us-gaap_LessorOperatingLeasePaymentsToBeReceived_518AFBE5D67BCD881FAA2D218AD98B31" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Total</link:label>
    <link:label id="lab_us-gaap_LessorOperatingLeasePaymentsToBeReceived_518AFBE5D67BCD881FAA2D218AD98B31_label_en-US" xlink:label="lab_us-gaap_LessorOperatingLeasePaymentsToBeReceived_518AFBE5D67BCD881FAA2D218AD98B31" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Lessor, Operating Lease, Payments to be Received</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_LessorOperatingLeasePaymentsToBeReceived" xlink:label="loc_us-gaap_LessorOperatingLeasePaymentsToBeReceived_518AFBE5D67BCD881FAA2D218AD98B31" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LessorOperatingLeasePaymentsToBeReceived_518AFBE5D67BCD881FAA2D218AD98B31" xlink:to="lab_us-gaap_LessorOperatingLeasePaymentsToBeReceived_518AFBE5D67BCD881FAA2D218AD98B31" xlink:type="arc" />
    <link:label id="lab_us-gaap_OperatingLeasesFutureMinimumPaymentsReceivableAbstract_4661BF3E9F546C4C87482D218AD91CB9_terseLabel_en-US" xlink:label="lab_us-gaap_OperatingLeasesFutureMinimumPaymentsReceivableAbstract_4661BF3E9F546C4C87482D218AD91CB9" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Fixed Future Minimum Rentals Prior to Adoption of ASU 2016-02</link:label>
    <link:label id="lab_us-gaap_OperatingLeasesFutureMinimumPaymentsReceivableAbstract_4661BF3E9F546C4C87482D218AD91CB9_label_en-US" xlink:label="lab_us-gaap_OperatingLeasesFutureMinimumPaymentsReceivableAbstract_4661BF3E9F546C4C87482D218AD91CB9" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Operating Leases, Future Minimum Payments Receivable [Abstract]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_OperatingLeasesFutureMinimumPaymentsReceivableAbstract" xlink:label="loc_us-gaap_OperatingLeasesFutureMinimumPaymentsReceivableAbstract_4661BF3E9F546C4C87482D218AD91CB9" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OperatingLeasesFutureMinimumPaymentsReceivableAbstract_4661BF3E9F546C4C87482D218AD91CB9" xlink:to="lab_us-gaap_OperatingLeasesFutureMinimumPaymentsReceivableAbstract_4661BF3E9F546C4C87482D218AD91CB9" xlink:type="arc" />
    <link:label id="lab_us-gaap_OperatingLeasesFutureMinimumPaymentsReceivableCurrent_B90731ABD7A1F9EDFA492D218AD9DCCE_terseLabel_en-US" xlink:label="lab_us-gaap_OperatingLeasesFutureMinimumPaymentsReceivableCurrent_B90731ABD7A1F9EDFA492D218AD9DCCE" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">2019</link:label>
    <link:label id="lab_us-gaap_OperatingLeasesFutureMinimumPaymentsReceivableCurrent_B90731ABD7A1F9EDFA492D218AD9DCCE_label_en-US" xlink:label="lab_us-gaap_OperatingLeasesFutureMinimumPaymentsReceivableCurrent_B90731ABD7A1F9EDFA492D218AD9DCCE" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Operating Leases, Future Minimum Payments Receivable, Current</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_OperatingLeasesFutureMinimumPaymentsReceivableCurrent" xlink:label="loc_us-gaap_OperatingLeasesFutureMinimumPaymentsReceivableCurrent_B90731ABD7A1F9EDFA492D218AD9DCCE" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OperatingLeasesFutureMinimumPaymentsReceivableCurrent_B90731ABD7A1F9EDFA492D218AD9DCCE" xlink:to="lab_us-gaap_OperatingLeasesFutureMinimumPaymentsReceivableCurrent_B90731ABD7A1F9EDFA492D218AD9DCCE" xlink:type="arc" />
    <link:label id="lab_us-gaap_OperatingLeasesFutureMinimumPaymentsReceivableInTwoYears_9458AC1F69707B9802282D218AD9BAAB_terseLabel_en-US" xlink:label="lab_us-gaap_OperatingLeasesFutureMinimumPaymentsReceivableInTwoYears_9458AC1F69707B9802282D218AD9BAAB" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">2020</link:label>
    <link:label id="lab_us-gaap_OperatingLeasesFutureMinimumPaymentsReceivableInTwoYears_9458AC1F69707B9802282D218AD9BAAB_label_en-US" xlink:label="lab_us-gaap_OperatingLeasesFutureMinimumPaymentsReceivableInTwoYears_9458AC1F69707B9802282D218AD9BAAB" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Operating Leases, Future Minimum Payments Receivable, in Two Years</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_OperatingLeasesFutureMinimumPaymentsReceivableInTwoYears" xlink:label="loc_us-gaap_OperatingLeasesFutureMinimumPaymentsReceivableInTwoYears_9458AC1F69707B9802282D218AD9BAAB" xlink:type="locator" />
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    <link:label id="lab_us-gaap_OperatingLeasesFutureMinimumPaymentsReceivableInThreeYears_1C78CA21F4D26F458FDC2D218AD9A560_terseLabel_en-US" xlink:label="lab_us-gaap_OperatingLeasesFutureMinimumPaymentsReceivableInThreeYears_1C78CA21F4D26F458FDC2D218AD9A560" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">2021</link:label>
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    <link:label id="lab_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueNextTwelveMonths_8F23A6DDBE8647965F5A2D218B3CB5F5_terseLabel_en-US" xlink:label="lab_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueNextTwelveMonths_8F23A6DDBE8647965F5A2D218B3CB5F5" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">2020</link:label>
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    <link:label id="lab_hgit_PublicOfferingLineItems_F8D4ACF218D93E0AD9EE2D218BB2C34C_label_en-US" xlink:label="lab_hgit_PublicOfferingLineItems_F8D4ACF218D93E0AD9EE2D218BB2C34C" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Public Offering [Line Items]</link:label>
    <link:label id="lab_hgit_PublicOfferingLineItems_F8D4ACF218D93E0AD9EE2D218BB2C34C_documentation_en-US" xlink:label="lab_hgit_PublicOfferingLineItems_F8D4ACF218D93E0AD9EE2D218BB2C34C" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">[Line Items] for Public Offering [Table]</link:label>
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    <link:label id="lab_hgit_MaximumProceedsFromIssuanceInitialPublicOffering_71283B589D229F4DF7DC2D218BB223D1_terseLabel_en-US" xlink:label="lab_hgit_MaximumProceedsFromIssuanceInitialPublicOffering_71283B589D229F4DF7DC2D218BB223D1" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Maximum proceeds authorized for public offering</link:label>
    <link:label id="lab_hgit_MaximumProceedsFromIssuanceInitialPublicOffering_71283B589D229F4DF7DC2D218BB223D1_label_en-US" xlink:label="lab_hgit_MaximumProceedsFromIssuanceInitialPublicOffering_71283B589D229F4DF7DC2D218BB223D1" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Maximum Proceeds From Issuance Initial Public Offering</link:label>
    <link:label id="lab_hgit_MaximumProceedsFromIssuanceInitialPublicOffering_71283B589D229F4DF7DC2D218BB223D1_documentation_en-US" xlink:label="lab_hgit_MaximumProceedsFromIssuanceInitialPublicOffering_71283B589D229F4DF7DC2D218BB223D1" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Maximum proceeds available from the public offering</link:label>
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    <link:label id="lab_us-gaap_StockIssuedDuringPeriodSharesNewIssues_984830BBA75A24B181652D218BB2AC16_terseLabel_en-US" xlink:label="lab_us-gaap_StockIssuedDuringPeriodSharesNewIssues_984830BBA75A24B181652D218BB2AC16" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Common stock sold (shares)</link:label>
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    <link:label id="lab_hgit_NumberOfRealEstateInvestments_4547CA7EF9323F7961E72D218BB2B6D5_terseLabel_en-US" xlink:label="lab_hgit_NumberOfRealEstateInvestments_4547CA7EF9323F7961E72D218BB2B6D5" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Number of real estate properties</link:label>
    <link:label id="lab_hgit_NumberOfRealEstateInvestments_4547CA7EF9323F7961E72D218BB2B6D5_label_en-US" xlink:label="lab_hgit_NumberOfRealEstateInvestments_4547CA7EF9323F7961E72D218BB2B6D5" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Number of Real Estate Investments</link:label>
    <link:label id="lab_hgit_NumberOfRealEstateInvestments_4547CA7EF9323F7961E72D218BB2B6D5_documentation_en-US" xlink:label="lab_hgit_NumberOfRealEstateInvestments_4547CA7EF9323F7961E72D218BB2B6D5" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">The number of real estate investments (including real estate properties and other real estate related investments/projects) the entity has interests in as of the balance sheet date.</link:label>
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    <link:label id="lab_us-gaap_AreaOfRealEstateProperty_BEC9F55CFDCC1550B1E82D218BB216E6_verboseLabel_en-US" xlink:label="lab_us-gaap_AreaOfRealEstateProperty_BEC9F55CFDCC1550B1E82D218BB216E6" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Area of real estate property</link:label>
    <link:label id="lab_us-gaap_AreaOfRealEstateProperty_BEC9F55CFDCC1550B1E82D218BB216E6_label_en-US" xlink:label="lab_us-gaap_AreaOfRealEstateProperty_BEC9F55CFDCC1550B1E82D218BB216E6" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Area of Real Estate Property</link:label>
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    <link:label id="lab_hgit_PercentageofPortfolioLeased_52614C6CDAA4FA9148792D218BB24F74_verboseLabel_en-US" xlink:label="lab_hgit_PercentageofPortfolioLeased_52614C6CDAA4FA9148792D218BB24F74" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Portfolio, percentage leased</link:label>
    <link:label id="lab_hgit_PercentageofPortfolioLeased_52614C6CDAA4FA9148792D218BB24F74_label_en-US" xlink:label="lab_hgit_PercentageofPortfolioLeased_52614C6CDAA4FA9148792D218BB24F74" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Percentage of Portfolio Leased</link:label>
    <link:label id="lab_hgit_PercentageofPortfolioLeased_52614C6CDAA4FA9148792D218BB24F74_documentation_en-US" xlink:label="lab_hgit_PercentageofPortfolioLeased_52614C6CDAA4FA9148792D218BB24F74" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Percentage of Portfolio Leased</link:label>
    <link:loc xlink:href="hgit-20191231.xsd#hgit_PercentageofPortfolioLeased" xlink:label="loc_hgit_PercentageofPortfolioLeased_52614C6CDAA4FA9148792D218BB24F74" xlink:type="locator" />
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    <link:label id="lab_us-gaap_SupplementalCashFlowElementsAbstract_81E61CE1061458ED58532D2186A8A15F_terseLabel_en-US" xlink:label="lab_us-gaap_SupplementalCashFlowElementsAbstract_81E61CE1061458ED58532D2186A8A15F" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Supplemental Disclosure of Cash Flow Information</link:label>
    <link:label id="lab_us-gaap_SupplementalCashFlowElementsAbstract_81E61CE1061458ED58532D2186A8A15F_label_en-US" xlink:label="lab_us-gaap_SupplementalCashFlowElementsAbstract_81E61CE1061458ED58532D2186A8A15F" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Supplemental Cash Flow Elements [Abstract]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_SupplementalCashFlowElementsAbstract" xlink:label="loc_us-gaap_SupplementalCashFlowElementsAbstract_81E61CE1061458ED58532D2186A8A15F" xlink:type="locator" />
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    <link:label id="lab_us-gaap_InterestPaidNet_10008340226131F0F2F62D2186A97360_terseLabel_en-US" xlink:label="lab_us-gaap_InterestPaidNet_10008340226131F0F2F62D2186A97360" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Cash paid for interest</link:label>
    <link:label id="lab_us-gaap_InterestPaidNet_10008340226131F0F2F62D2186A97360_label_en-US" xlink:label="lab_us-gaap_InterestPaidNet_10008340226131F0F2F62D2186A97360" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Interest Paid, Excluding Capitalized Interest, Operating Activities</link:label>
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    <link:label id="lab_us-gaap_CashFlowNoncashInvestingAndFinancingActivitiesDisclosureAbstract_1F9F7706883EA5869BFD2D2186A99599_terseLabel_en-US" xlink:label="lab_us-gaap_CashFlowNoncashInvestingAndFinancingActivitiesDisclosureAbstract_1F9F7706883EA5869BFD2D2186A99599" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Cash Flow Noncash Investing and Financing Activities Disclosure Abstract</link:label>
    <link:label id="lab_us-gaap_CashFlowNoncashInvestingAndFinancingActivitiesDisclosureAbstract_1F9F7706883EA5869BFD2D2186A99599_label_en-US" xlink:label="lab_us-gaap_CashFlowNoncashInvestingAndFinancingActivitiesDisclosureAbstract_1F9F7706883EA5869BFD2D2186A99599" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Cash Flow, Noncash Investing and Financing Activities Disclosure [Abstract]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_CashFlowNoncashInvestingAndFinancingActivitiesDisclosureAbstract" xlink:label="loc_us-gaap_CashFlowNoncashInvestingAndFinancingActivitiesDisclosureAbstract_1F9F7706883EA5869BFD2D2186A99599" xlink:type="locator" />
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    <link:label id="lab_us-gaap_NoncashInvestingAndFinancingItemsAbstract_2C7809F6C84E4EE0B7982D2186A91F03_terseLabel_en-US" xlink:label="lab_us-gaap_NoncashInvestingAndFinancingItemsAbstract_2C7809F6C84E4EE0B7982D2186A91F03" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Supplemental Schedule of Non-Cash Investing and Financing Activities</link:label>
    <link:label id="lab_us-gaap_NoncashInvestingAndFinancingItemsAbstract_2C7809F6C84E4EE0B7982D2186A91F03_label_en-US" xlink:label="lab_us-gaap_NoncashInvestingAndFinancingItemsAbstract_2C7809F6C84E4EE0B7982D2186A91F03" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Noncash Investing and Financing Items [Abstract]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_NoncashInvestingAndFinancingItemsAbstract" xlink:label="loc_us-gaap_NoncashInvestingAndFinancingItemsAbstract_2C7809F6C84E4EE0B7982D2186A91F03" xlink:type="locator" />
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    <link:label id="lab_us-gaap_DividendsPayableCurrentAndNoncurrent_B144D1097D3E7F9720D22D2186AA1B49_terseLabel_en-US" xlink:label="lab_us-gaap_DividendsPayableCurrentAndNoncurrent_B144D1097D3E7F9720D22D2186AA1B49" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Distributions declared and unpaid</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_DividendsPayableCurrentAndNoncurrent" xlink:label="loc_us-gaap_DividendsPayableCurrentAndNoncurrent_B144D1097D3E7F9720D22D2186AA1B49" xlink:type="locator" />
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    <link:label id="lab_us-gaap_ProceedsFromIssuanceOfCommonStockDividendReinvestmentPlan_A1512427B8F2E7CBEEC62D2186AAC00F_terseLabel_en-US" xlink:label="lab_us-gaap_ProceedsFromIssuanceOfCommonStockDividendReinvestmentPlan_A1512427B8F2E7CBEEC62D2186AAC00F" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Distributions reinvested</link:label>
    <link:label id="lab_us-gaap_ProceedsFromIssuanceOfCommonStockDividendReinvestmentPlan_A1512427B8F2E7CBEEC62D2186AAC00F_label_en-US" xlink:label="lab_us-gaap_ProceedsFromIssuanceOfCommonStockDividendReinvestmentPlan_A1512427B8F2E7CBEEC62D2186AAC00F" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Proceeds from Issuance of Common Stock, Dividend Reinvestment Plan</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_ProceedsFromIssuanceOfCommonStockDividendReinvestmentPlan" xlink:label="loc_us-gaap_ProceedsFromIssuanceOfCommonStockDividendReinvestmentPlan_A1512427B8F2E7CBEEC62D2186AAC00F" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ProceedsFromIssuanceOfCommonStockDividendReinvestmentPlan_A1512427B8F2E7CBEEC62D2186AAC00F" xlink:to="lab_us-gaap_ProceedsFromIssuanceOfCommonStockDividendReinvestmentPlan_A1512427B8F2E7CBEEC62D2186AAC00F" xlink:type="arc" />
    <link:label id="lab_hgit_RedemptionsPayable_9825643A23D8568C128A2D2186ABF7AE_terseLabel_en-US" xlink:label="lab_hgit_RedemptionsPayable_9825643A23D8568C128A2D2186ABF7AE" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Shares tendered for redemption</link:label>
    <link:label id="lab_hgit_RedemptionsPayable_9825643A23D8568C128A2D2186ABF7AE_label_en-US" xlink:label="lab_hgit_RedemptionsPayable_9825643A23D8568C128A2D2186ABF7AE" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Redemptions Payable</link:label>
    <link:label id="lab_hgit_RedemptionsPayable_9825643A23D8568C128A2D2186ABF7AE_documentation_en-US" xlink:label="lab_hgit_RedemptionsPayable_9825643A23D8568C128A2D2186ABF7AE" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">The future cash outflow to pay for redemptions of common stock.</link:label>
    <link:loc xlink:href="hgit-20191231.xsd#hgit_RedemptionsPayable" xlink:label="loc_hgit_RedemptionsPayable_9825643A23D8568C128A2D2186ABF7AE" xlink:type="locator" />
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    <link:label id="lab_us-gaap_NoncashOrPartNoncashAcquisitionValueOfLiabilitiesAssumed1_7F4DB1251B77E2DCC7D22D2186AB3622_terseLabel_en-US" xlink:label="lab_us-gaap_NoncashOrPartNoncashAcquisitionValueOfLiabilitiesAssumed1_7F4DB1251B77E2DCC7D22D2186AB3622" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Non-cash net liabilities assumed</link:label>
    <link:label id="lab_us-gaap_NoncashOrPartNoncashAcquisitionValueOfLiabilitiesAssumed1_7F4DB1251B77E2DCC7D22D2186AB3622_label_en-US" xlink:label="lab_us-gaap_NoncashOrPartNoncashAcquisitionValueOfLiabilitiesAssumed1_7F4DB1251B77E2DCC7D22D2186AB3622" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Noncash or Part Noncash Acquisition, Value of Liabilities Assumed</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_NoncashOrPartNoncashAcquisitionValueOfLiabilitiesAssumed1" xlink:label="loc_us-gaap_NoncashOrPartNoncashAcquisitionValueOfLiabilitiesAssumed1_7F4DB1251B77E2DCC7D22D2186AB3622" xlink:type="locator" />
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    <link:label id="lab_us-gaap_NoncashOrPartNoncashAcquisitionDebtAssumed1_859A351D2BE9948184E62D2186AB346A_terseLabel_en-US" xlink:label="lab_us-gaap_NoncashOrPartNoncashAcquisitionDebtAssumed1_859A351D2BE9948184E62D2186AB346A" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Assumption of mortgage upon acquisition of property</link:label>
    <link:label id="lab_us-gaap_NoncashOrPartNoncashAcquisitionDebtAssumed1_859A351D2BE9948184E62D2186AB346A_label_en-US" xlink:label="lab_us-gaap_NoncashOrPartNoncashAcquisitionDebtAssumed1_859A351D2BE9948184E62D2186AB346A" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Noncash or Part Noncash Acquisition, Debt Assumed</link:label>
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    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_NoncashOrPartNoncashAcquisitionDebtAssumed1_859A351D2BE9948184E62D2186AB346A" xlink:to="lab_us-gaap_NoncashOrPartNoncashAcquisitionDebtAssumed1_859A351D2BE9948184E62D2186AB346A" xlink:type="arc" />
    <link:label id="lab_hgit_NoncashOfferingCostsPayable_092FCF1A23C757ADA95C2D2186AC8DF2_terseLabel_en-US" xlink:label="lab_hgit_NoncashOfferingCostsPayable_092FCF1A23C757ADA95C2D2186AC8DF2" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Offering costs payable to the Advisor</link:label>
    <link:label id="lab_hgit_NoncashOfferingCostsPayable_092FCF1A23C757ADA95C2D2186AC8DF2_label_en-US" xlink:label="lab_hgit_NoncashOfferingCostsPayable_092FCF1A23C757ADA95C2D2186AC8DF2" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Noncash Offering Costs Payable</link:label>
    <link:label id="lab_hgit_NoncashOfferingCostsPayable_092FCF1A23C757ADA95C2D2186AC8DF2_documentation_en-US" xlink:label="lab_hgit_NoncashOfferingCostsPayable_092FCF1A23C757ADA95C2D2186AC8DF2" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">The noncash increase (decrease) in offering costs. Noncash is defined as transactions during a period that affect recognized assets or liabilities but that do not result in cash receipts or cash payments in the period. "Part noncash" refers to that portion of the transaction not resulting in cash receipts or cash payments in the period.</link:label>
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    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_hgit_NoncashOfferingCostsPayable_092FCF1A23C757ADA95C2D2186AC8DF2" xlink:to="lab_hgit_NoncashOfferingCostsPayable_092FCF1A23C757ADA95C2D2186AC8DF2" xlink:type="arc" />
    <link:label id="lab_hgit_NonCashSellingCommissionDealerManagerFeesandDistributionandShareholderFeesPayable_A4C81F355BA7C2CCE94A2D2186ACE480_terseLabel_en-US" xlink:label="lab_hgit_NonCashSellingCommissionDealerManagerFeesandDistributionandShareholderFeesPayable_A4C81F355BA7C2CCE94A2D2186ACE480" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Selling commissions, dealer manager fees and distribution and stockholder servicing fees payable to the Dealer Manager</link:label>
    <link:label id="lab_hgit_NonCashSellingCommissionDealerManagerFeesandDistributionandShareholderFeesPayable_A4C81F355BA7C2CCE94A2D2186ACE480_label_en-US" xlink:label="lab_hgit_NonCashSellingCommissionDealerManagerFeesandDistributionandShareholderFeesPayable_A4C81F355BA7C2CCE94A2D2186ACE480" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Non Cash Selling Commission, Dealer Manager Fees, and Distribution and Shareholder Fees Payable</link:label>
    <link:label id="lab_hgit_NonCashSellingCommissionDealerManagerFeesandDistributionandShareholderFeesPayable_A4C81F355BA7C2CCE94A2D2186ACE480_documentation_en-US" xlink:label="lab_hgit_NonCashSellingCommissionDealerManagerFeesandDistributionandShareholderFeesPayable_A4C81F355BA7C2CCE94A2D2186ACE480" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">The noncash increase (decrease) in selling commissions, dealer manager fees, and distribution and stockholder servicing fees payable. Noncash is defined as transactions during a period that affect recognized assets or liabilities but that do not result in cash receipts or cash payments in the period. "Part noncash" refers to that portion of the transaction not resulting in cash receipts or cash payments in the period.</link:label>
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    <link:label id="lab_us-gaap_CapitalExpendituresIncurredButNotYetPaid_ACC903D04BD7715969DE2D2186AC495E_terseLabel_en-US" xlink:label="lab_us-gaap_CapitalExpendituresIncurredButNotYetPaid_ACC903D04BD7715969DE2D2186AC495E" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Accrued capital additions</link:label>
    <link:label id="lab_us-gaap_CapitalExpendituresIncurredButNotYetPaid_ACC903D04BD7715969DE2D2186AC495E_label_en-US" xlink:label="lab_us-gaap_CapitalExpendituresIncurredButNotYetPaid_ACC903D04BD7715969DE2D2186AC495E" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Capital Expenditures Incurred but Not yet Paid</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_CapitalExpendituresIncurredButNotYetPaid" xlink:label="loc_us-gaap_CapitalExpendituresIncurredButNotYetPaid_ACC903D04BD7715969DE2D2186AC495E" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CapitalExpendituresIncurredButNotYetPaid_ACC903D04BD7715969DE2D2186AC495E" xlink:to="lab_us-gaap_CapitalExpendituresIncurredButNotYetPaid_ACC903D04BD7715969DE2D2186AC495E" xlink:type="arc" />
    <link:label id="lab_hgit_AccruedAcquisitionCosts_D14F7511EB8385E881502D2186AC51B0_terseLabel_en-US" xlink:label="lab_hgit_AccruedAcquisitionCosts_D14F7511EB8385E881502D2186AC51B0" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Accrued acquisition costs</link:label>
    <link:label id="lab_hgit_AccruedAcquisitionCosts_D14F7511EB8385E881502D2186AC51B0_label_en-US" xlink:label="lab_hgit_AccruedAcquisitionCosts_D14F7511EB8385E881502D2186AC51B0" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Accrued Acquisition Costs</link:label>
    <link:label id="lab_hgit_AccruedAcquisitionCosts_D14F7511EB8385E881502D2186AC51B0_documentation_en-US" xlink:label="lab_hgit_AccruedAcquisitionCosts_D14F7511EB8385E881502D2186AC51B0" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Accrued Acquisition Costs - the non cash increase (decrease) for acquisition costs that have been capitalized but are still unpaid.</link:label>
    <link:loc xlink:href="hgit-20191231.xsd#hgit_AccruedAcquisitionCosts" xlink:label="loc_hgit_AccruedAcquisitionCosts_D14F7511EB8385E881502D2186AC51B0" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_hgit_AccruedAcquisitionCosts_D14F7511EB8385E881502D2186AC51B0" xlink:to="lab_hgit_AccruedAcquisitionCosts_D14F7511EB8385E881502D2186AC51B0" xlink:type="arc" />
    <link:label id="lab_hgit_AssetAcquisitionsIncurredButNotYetPaid_EF962CB1E7FC96642A052D2186ACA770_terseLabel_en-US" xlink:label="lab_hgit_AssetAcquisitionsIncurredButNotYetPaid_EF962CB1E7FC96642A052D2186ACA770" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Maintal Logistics acquisition liability</link:label>
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    <link:label id="lab_hgit_AssetAcquisitionsIncurredButNotYetPaid_EF962CB1E7FC96642A052D2186ACA770_documentation_en-US" xlink:label="lab_hgit_AssetAcquisitionsIncurredButNotYetPaid_EF962CB1E7FC96642A052D2186ACA770" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Asset Acquisitions Incurred But Not Yet Paid</link:label>
    <link:loc xlink:href="hgit-20191231.xsd#hgit_AssetAcquisitionsIncurredButNotYetPaid" xlink:label="loc_hgit_AssetAcquisitionsIncurredButNotYetPaid_EF962CB1E7FC96642A052D2186ACA770" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_hgit_AssetAcquisitionsIncurredButNotYetPaid_EF962CB1E7FC96642A052D2186ACA770" xlink:to="lab_hgit_AssetAcquisitionsIncurredButNotYetPaid_EF962CB1E7FC96642A052D2186ACA770" xlink:type="arc" />
    <link:label id="lab_hgit_SegroLogisticsParkGdanskMember_9B1379BF159D0254BA922D218B083592_terseLabel_en-US" xlink:label="lab_hgit_SegroLogisticsParkGdanskMember_9B1379BF159D0254BA922D218B083592" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Segro Logistics Park Gdansk</link:label>
    <link:label id="lab_hgit_SegroLogisticsParkGdanskMember_9B1379BF159D0254BA922D218B083592_label_en-US" xlink:label="lab_hgit_SegroLogisticsParkGdanskMember_9B1379BF159D0254BA922D218B083592" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Segro Logistics Park Gdansk [Member]</link:label>
    <link:label id="lab_hgit_SegroLogisticsParkGdanskMember_9B1379BF159D0254BA922D218B083592_documentation_en-US" xlink:label="lab_hgit_SegroLogisticsParkGdanskMember_9B1379BF159D0254BA922D218B083592" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Segro Logistics Park Gdansk [Member]</link:label>
    <link:loc xlink:href="hgit-20191231.xsd#hgit_SegroLogisticsParkGdanskMember" xlink:label="loc_hgit_SegroLogisticsParkGdanskMember_9B1379BF159D0254BA922D218B083592" xlink:type="locator" />
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    <link:label id="lab_us-gaap_AmortizationOfIntangibleAssets_A8E401625B0125E68D482D218B0C643C_terseLabel_en-US" xlink:label="lab_us-gaap_AmortizationOfIntangibleAssets_A8E401625B0125E68D482D218B0C643C" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Amortization of intangible assets</link:label>
    <link:label id="lab_us-gaap_AmortizationOfIntangibleAssets_A8E401625B0125E68D482D218B0C643C_label_en-US" xlink:label="lab_us-gaap_AmortizationOfIntangibleAssets_A8E401625B0125E68D482D218B0C643C" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Amortization of Intangible Assets</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_AmortizationOfIntangibleAssets" xlink:label="loc_us-gaap_AmortizationOfIntangibleAssets_A8E401625B0125E68D482D218B0C643C" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_AmortizationOfIntangibleAssets_A8E401625B0125E68D482D218B0C643C" xlink:to="lab_us-gaap_AmortizationOfIntangibleAssets_A8E401625B0125E68D482D218B0C643C" xlink:type="arc" />
    <link:label id="lab_us-gaap_AmortizationOfAboveAndBelowMarketLeases_F7432A950811282891942D218B0C1497_terseLabel_en-US" xlink:label="lab_us-gaap_AmortizationOfAboveAndBelowMarketLeases_F7432A950811282891942D218B0C1497" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Amortization of above and below market leases</link:label>
    <link:label id="lab_us-gaap_AmortizationOfAboveAndBelowMarketLeases_F7432A950811282891942D218B0C1497_label_en-US" xlink:label="lab_us-gaap_AmortizationOfAboveAndBelowMarketLeases_F7432A950811282891942D218B0C1497" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Amortization of above and below Market Leases</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_AmortizationOfAboveAndBelowMarketLeases" xlink:label="loc_us-gaap_AmortizationOfAboveAndBelowMarketLeases_F7432A950811282891942D218B0C1497" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_AmortizationOfAboveAndBelowMarketLeases_F7432A950811282891942D218B0C1497" xlink:to="lab_us-gaap_AmortizationOfAboveAndBelowMarketLeases_F7432A950811282891942D218B0C1497" xlink:type="arc" />
    <link:label id="lab_us-gaap_LessorOperatingLeaseTermOfContract_F093D38280B4D6BCA6B82D218B0C97B6_terseLabel_en-US" xlink:label="lab_us-gaap_LessorOperatingLeaseTermOfContract_F093D38280B4D6BCA6B82D218B0C97B6" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Term of contract</link:label>
    <link:label id="lab_us-gaap_LessorOperatingLeaseTermOfContract_F093D38280B4D6BCA6B82D218B0C97B6_label_en-US" xlink:label="lab_us-gaap_LessorOperatingLeaseTermOfContract_F093D38280B4D6BCA6B82D218B0C97B6" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Lessor, Operating Lease, Term of Contract</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_LessorOperatingLeaseTermOfContract" xlink:label="loc_us-gaap_LessorOperatingLeaseTermOfContract_F093D38280B4D6BCA6B82D218B0C97B6" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LessorOperatingLeaseTermOfContract_F093D38280B4D6BCA6B82D218B0C97B6" xlink:to="lab_us-gaap_LessorOperatingLeaseTermOfContract_F093D38280B4D6BCA6B82D218B0C97B6" xlink:type="arc" />
    <link:label id="lab_us-gaap_RecoveryOfDirectCosts_9E82EF458B6B00DB6EED2D218B0C700C_terseLabel_en-US" xlink:label="lab_us-gaap_RecoveryOfDirectCosts_9E82EF458B6B00DB6EED2D218B0C700C" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Recovery of direct costs</link:label>
    <link:label id="lab_us-gaap_RecoveryOfDirectCosts_9E82EF458B6B00DB6EED2D218B0C700C_label_en-US" xlink:label="lab_us-gaap_RecoveryOfDirectCosts_9E82EF458B6B00DB6EED2D218B0C700C" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Recovery of Direct Costs</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_RecoveryOfDirectCosts" xlink:label="loc_us-gaap_RecoveryOfDirectCosts_9E82EF458B6B00DB6EED2D218B0C700C" xlink:type="locator" />
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    <link:label id="lab_srt_RealEstateAndAccumulatedDepreciationDisclosureTextBlock_DA26F8FFA8294FEAEC692D21861C0574_terseLabel_en-US" xlink:label="lab_srt_RealEstateAndAccumulatedDepreciationDisclosureTextBlock_DA26F8FFA8294FEAEC692D21861C0574" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule III - Real Estate Assets and Accumulated Depreciation</link:label>
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    <link:label id="lab_hgit_CommonClassTSandDMember_ADDC2C9006EA2162EB772D2187EB76B0_terseLabel_en-US" xlink:label="lab_hgit_CommonClassTSandDMember_ADDC2C9006EA2162EB772D2187EB76B0" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Common Class T, S and D</link:label>
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    <link:loc xlink:href="hgit-20191231.xsd#hgit_PercentageCalculationBasebyCategoryAxis" xlink:label="loc_hgit_PercentageCalculationBasebyCategoryAxis_F6375895239426C0F6A82D2187F71DE8" xlink:type="locator" />
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    <link:label id="lab_hgit_PercentageCalculationBasebyCategoryDomain_8AFB9C31A2C69C774DB72D2187F7BFDA_documentation_en-US" xlink:label="lab_hgit_PercentageCalculationBasebyCategoryDomain_8AFB9C31A2C69C774DB72D2187F7BFDA" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">[Domain] for Percentage Calculation Base, by Category [Axis]</link:label>
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    <link:label id="lab_hgit_NetPurchasePriceMember_B698DC166BE5C27BAD522D2187F7B6F6_terseLabel_en-US" xlink:label="lab_hgit_NetPurchasePriceMember_B698DC166BE5C27BAD522D2187F7B6F6" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Net purchase price</link:label>
    <link:label id="lab_hgit_NetPurchasePriceMember_B698DC166BE5C27BAD522D2187F7B6F6_label_en-US" xlink:label="lab_hgit_NetPurchasePriceMember_B698DC166BE5C27BAD522D2187F7B6F6" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Net Purchase Price [Member]</link:label>
    <link:label id="lab_hgit_NetPurchasePriceMember_B698DC166BE5C27BAD522D2187F7B6F6_documentation_en-US" xlink:label="lab_hgit_NetPurchasePriceMember_B698DC166BE5C27BAD522D2187F7B6F6" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Net Purchase Price [Member]</link:label>
    <link:loc xlink:href="hgit-20191231.xsd#hgit_NetPurchasePriceMember" xlink:label="loc_hgit_NetPurchasePriceMember_B698DC166BE5C27BAD522D2187F7B6F6" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_hgit_NetPurchasePriceMember_B698DC166BE5C27BAD522D2187F7B6F6" xlink:to="lab_hgit_NetPurchasePriceMember_B698DC166BE5C27BAD522D2187F7B6F6" xlink:type="arc" />
    <link:label id="lab_hgit_CostofRealEstateInvestmentsPerMonthMember_2C3443111AD7BC2566D62D2187F74333_terseLabel_en-US" xlink:label="lab_hgit_CostofRealEstateInvestmentsPerMonthMember_2C3443111AD7BC2566D62D2187F74333" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Cost of real estate investments per month</link:label>
    <link:label id="lab_hgit_CostofRealEstateInvestmentsPerMonthMember_2C3443111AD7BC2566D62D2187F74333_label_en-US" xlink:label="lab_hgit_CostofRealEstateInvestmentsPerMonthMember_2C3443111AD7BC2566D62D2187F74333" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Cost of Real Estate Investments Per Month [Member]</link:label>
    <link:label id="lab_hgit_CostofRealEstateInvestmentsPerMonthMember_2C3443111AD7BC2566D62D2187F74333_documentation_en-US" xlink:label="lab_hgit_CostofRealEstateInvestmentsPerMonthMember_2C3443111AD7BC2566D62D2187F74333" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Cost of Real Estate Investments Per Month [Member]</link:label>
    <link:loc xlink:href="hgit-20191231.xsd#hgit_CostofRealEstateInvestmentsPerMonthMember" xlink:label="loc_hgit_CostofRealEstateInvestmentsPerMonthMember_2C3443111AD7BC2566D62D2187F74333" xlink:type="locator" />
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    <link:label id="lab_us-gaap_OperatingExpenseMember_3067CFCF4E6EBD1BCD5E2D2187F7C729_terseLabel_en-US" xlink:label="lab_us-gaap_OperatingExpenseMember_3067CFCF4E6EBD1BCD5E2D2187F7C729" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Operating Expense</link:label>
    <link:label id="lab_us-gaap_OperatingExpenseMember_3067CFCF4E6EBD1BCD5E2D2187F7C729_label_en-US" xlink:label="lab_us-gaap_OperatingExpenseMember_3067CFCF4E6EBD1BCD5E2D2187F7C729" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Operating Expense [Member]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_OperatingExpenseMember" xlink:label="loc_us-gaap_OperatingExpenseMember_3067CFCF4E6EBD1BCD5E2D2187F7C729" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OperatingExpenseMember_3067CFCF4E6EBD1BCD5E2D2187F7C729" xlink:to="lab_us-gaap_OperatingExpenseMember_3067CFCF4E6EBD1BCD5E2D2187F7C729" xlink:type="arc" />
    <link:label id="lab_hgit_OrganizationalandOfferingrelatedIssuerCostsMember_0F2D1AE4606073E41BDA2D2187F7F27D_verboseLabel_en-US" xlink:label="lab_hgit_OrganizationalandOfferingrelatedIssuerCostsMember_0F2D1AE4606073E41BDA2D2187F7F27D" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Organizational and offering-related issuer costs</link:label>
    <link:label id="lab_hgit_OrganizationalandOfferingrelatedIssuerCostsMember_0F2D1AE4606073E41BDA2D2187F7F27D_label_en-US" xlink:label="lab_hgit_OrganizationalandOfferingrelatedIssuerCostsMember_0F2D1AE4606073E41BDA2D2187F7F27D" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Organizational and Offering-related Issuer Costs [Member]</link:label>
    <link:label id="lab_hgit_OrganizationalandOfferingrelatedIssuerCostsMember_0F2D1AE4606073E41BDA2D2187F7F27D_documentation_en-US" xlink:label="lab_hgit_OrganizationalandOfferingrelatedIssuerCostsMember_0F2D1AE4606073E41BDA2D2187F7F27D" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Organizational and Offering-related Issuer Costs</link:label>
    <link:loc xlink:href="hgit-20191231.xsd#hgit_OrganizationalandOfferingrelatedIssuerCostsMember" xlink:label="loc_hgit_OrganizationalandOfferingrelatedIssuerCostsMember_0F2D1AE4606073E41BDA2D2187F7F27D" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_hgit_OrganizationalandOfferingrelatedIssuerCostsMember_0F2D1AE4606073E41BDA2D2187F7F27D" xlink:to="lab_hgit_OrganizationalandOfferingrelatedIssuerCostsMember_0F2D1AE4606073E41BDA2D2187F7F27D" xlink:type="arc" />
    <link:label id="lab_hgit_RelatedPartyPerformanceParticipationAllocationPercentageOfAnnualReturn_4514943E7E38B5F0BDC92D2187FBD934_terseLabel_en-US" xlink:label="lab_hgit_RelatedPartyPerformanceParticipationAllocationPercentageOfAnnualReturn_4514943E7E38B5F0BDC92D2187FBD934" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Related party allocation percentage of annual total return</link:label>
    <link:label id="lab_hgit_RelatedPartyPerformanceParticipationAllocationPercentageOfAnnualReturn_4514943E7E38B5F0BDC92D2187FBD934_label_en-US" xlink:label="lab_hgit_RelatedPartyPerformanceParticipationAllocationPercentageOfAnnualReturn_4514943E7E38B5F0BDC92D2187FBD934" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Related Party Performance Participation Allocation Percentage Of Annual Return</link:label>
    <link:label id="lab_hgit_RelatedPartyPerformanceParticipationAllocationPercentageOfAnnualReturn_4514943E7E38B5F0BDC92D2187FBD934_documentation_en-US" xlink:label="lab_hgit_RelatedPartyPerformanceParticipationAllocationPercentageOfAnnualReturn_4514943E7E38B5F0BDC92D2187FBD934" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Related Party Performance Participation Allocation Percentage Of Annual Return</link:label>
    <link:loc xlink:href="hgit-20191231.xsd#hgit_RelatedPartyPerformanceParticipationAllocationPercentageOfAnnualReturn" xlink:label="loc_hgit_RelatedPartyPerformanceParticipationAllocationPercentageOfAnnualReturn_4514943E7E38B5F0BDC92D2187FBD934" xlink:type="locator" />
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    <link:label id="lab_hgit_AnnualHurdleAmountPercentage_1C753FB3782F746934402D2187FBA938_terseLabel_en-US" xlink:label="lab_hgit_AnnualHurdleAmountPercentage_1C753FB3782F746934402D2187FBA938" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Percentage of annual hurdle amount</link:label>
    <link:label id="lab_hgit_AnnualHurdleAmountPercentage_1C753FB3782F746934402D2187FBA938_label_en-US" xlink:label="lab_hgit_AnnualHurdleAmountPercentage_1C753FB3782F746934402D2187FBA938" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Annual Hurdle Amount Percentage</link:label>
    <link:label id="lab_hgit_AnnualHurdleAmountPercentage_1C753FB3782F746934402D2187FBA938_documentation_en-US" xlink:label="lab_hgit_AnnualHurdleAmountPercentage_1C753FB3782F746934402D2187FBA938" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Annual Hurdle Amount Percentage</link:label>
    <link:loc xlink:href="hgit-20191231.xsd#hgit_AnnualHurdleAmountPercentage" xlink:label="loc_hgit_AnnualHurdleAmountPercentage_1C753FB3782F746934402D2187FBA938" xlink:type="locator" />
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    <link:label id="lab_hgit_NumberofConsecutiveQuartersforReimbursementofExcessOperatingExpenses_36CBE3E0C188CA7B13E52D2187FB311F_terseLabel_en-US" xlink:label="lab_hgit_NumberofConsecutiveQuartersforReimbursementofExcessOperatingExpenses_36CBE3E0C188CA7B13E52D2187FB311F" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Number of consecutive quarters for reimbursement of excess operating expenses</link:label>
    <link:label id="lab_hgit_NumberofConsecutiveQuartersforReimbursementofExcessOperatingExpenses_36CBE3E0C188CA7B13E52D2187FB311F_label_en-US" xlink:label="lab_hgit_NumberofConsecutiveQuartersforReimbursementofExcessOperatingExpenses_36CBE3E0C188CA7B13E52D2187FB311F" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Number of Consecutive Quarters for Reimbursement of Excess Operating Expenses</link:label>
    <link:label id="lab_hgit_NumberofConsecutiveQuartersforReimbursementofExcessOperatingExpenses_36CBE3E0C188CA7B13E52D2187FB311F_documentation_en-US" xlink:label="lab_hgit_NumberofConsecutiveQuartersforReimbursementofExcessOperatingExpenses_36CBE3E0C188CA7B13E52D2187FB311F" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Number of Consecutive Quarters for Reimbursement of Excess Operating Expenses</link:label>
    <link:loc xlink:href="hgit-20191231.xsd#hgit_NumberofConsecutiveQuartersforReimbursementofExcessOperatingExpenses" xlink:label="loc_hgit_NumberofConsecutiveQuartersforReimbursementofExcessOperatingExpenses_36CBE3E0C188CA7B13E52D2187FB311F" xlink:type="locator" />
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    <link:label id="lab_hgit_MinimumPercentageofAverageInvestedAssets_4934409F9E479C7903502D2187FB52F4_terseLabel_en-US" xlink:label="lab_hgit_MinimumPercentageofAverageInvestedAssets_4934409F9E479C7903502D2187FB52F4" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Minimum percentage of average invested assets</link:label>
    <link:label id="lab_hgit_MinimumPercentageofAverageInvestedAssets_4934409F9E479C7903502D2187FB52F4_label_en-US" xlink:label="lab_hgit_MinimumPercentageofAverageInvestedAssets_4934409F9E479C7903502D2187FB52F4" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Minimum Percentage of Average Invested Assets</link:label>
    <link:label id="lab_hgit_MinimumPercentageofAverageInvestedAssets_4934409F9E479C7903502D2187FB52F4_documentation_en-US" xlink:label="lab_hgit_MinimumPercentageofAverageInvestedAssets_4934409F9E479C7903502D2187FB52F4" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Represents the minimum threshold percentage of average invested assets that will not be reimbursed to the Advisor.</link:label>
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    <link:label id="lab_hgit_MinimumPercentageofNetIncome_D07919FC63115F745F4D2D2187FB8241_terseLabel_en-US" xlink:label="lab_hgit_MinimumPercentageofNetIncome_D07919FC63115F745F4D2D2187FB8241" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Minimum percentage of net income</link:label>
    <link:label id="lab_hgit_MinimumPercentageofNetIncome_D07919FC63115F745F4D2D2187FB8241_label_en-US" xlink:label="lab_hgit_MinimumPercentageofNetIncome_D07919FC63115F745F4D2D2187FB8241" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Minimum Percentage of Net Income</link:label>
    <link:label id="lab_hgit_MinimumPercentageofNetIncome_D07919FC63115F745F4D2D2187FB8241_documentation_en-US" xlink:label="lab_hgit_MinimumPercentageofNetIncome_D07919FC63115F745F4D2D2187FB8241" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Minimum percentage of net income represents the minimum threshold percentage of net income other than any additions to reserves for depreciation, bad debt or other similar non-cash reserves and excluding any gain from the sale of assets for that period that will not be reimbursed to the Advisor.</link:label>
    <link:loc xlink:href="hgit-20191231.xsd#hgit_MinimumPercentageofNetIncome" xlink:label="loc_hgit_MinimumPercentageofNetIncome_D07919FC63115F745F4D2D2187FB8241" xlink:type="locator" />
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    <link:label id="lab_hgit_MaximumCompensationtobeReimbursedExpressedasaPercentageofGrossOfferingProceeds_9E116332442B6F5708242D2187FBDF2B_terseLabel_en-US" xlink:label="lab_hgit_MaximumCompensationtobeReimbursedExpressedasaPercentageofGrossOfferingProceeds_9E116332442B6F5708242D2187FBDF2B" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Maximum compensation to be reimbursed, expressed as a percentage of gross offering proceeds</link:label>
    <link:label id="lab_hgit_MaximumCompensationtobeReimbursedExpressedasaPercentageofGrossOfferingProceeds_9E116332442B6F5708242D2187FBDF2B_label_en-US" xlink:label="lab_hgit_MaximumCompensationtobeReimbursedExpressedasaPercentageofGrossOfferingProceeds_9E116332442B6F5708242D2187FBDF2B" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Maximum Compensation to be Reimbursed, Expressed as a Percentage of Gross Offering Proceeds</link:label>
    <link:label id="lab_hgit_MaximumCompensationtobeReimbursedExpressedasaPercentageofGrossOfferingProceeds_9E116332442B6F5708242D2187FBDF2B_documentation_en-US" xlink:label="lab_hgit_MaximumCompensationtobeReimbursedExpressedasaPercentageofGrossOfferingProceeds_9E116332442B6F5708242D2187FBDF2B" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">The maximum compensation amount, expressed as a percentage of gross offering proceeds, that the Company will reimburse back to the Advisor.</link:label>
    <link:loc xlink:href="hgit-20191231.xsd#hgit_MaximumCompensationtobeReimbursedExpressedasaPercentageofGrossOfferingProceeds" xlink:label="loc_hgit_MaximumCompensationtobeReimbursedExpressedasaPercentageofGrossOfferingProceeds_9E116332442B6F5708242D2187FBDF2B" xlink:type="locator" />
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