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    <testOrLive>LIVE</testOrLive>

    <primaryIssuer>
        <cik>0001672521</cik>
        <entityName>PE Premier Abraaj Growth Markets Health Onshore Feeder LP</entityName>
        <issuerAddress>
            <street1>522 FIFTH AVENUE, 13TH FLOOR</street1>
            <street2>C/O MORGAN STANLEY SMITH BARNEY</street2>
            <city>NEW YORK</city>
            <stateOrCountry>NY</stateOrCountry>
            <stateOrCountryDescription>NEW YORK</stateOrCountryDescription>
            <zipCode>10036</zipCode>
        </issuerAddress>
        <issuerPhoneNumber>212-296-6000</issuerPhoneNumber>
        <jurisdictionOfInc>DELAWARE</jurisdictionOfInc>
        <issuerPreviousNameList>
            <value>None</value>
        </issuerPreviousNameList>
        <edgarPreviousNameList>
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        <entityType>Limited Partnership</entityType>
        <yearOfInc>
            <withinFiveYears>true</withinFiveYears>
            <value>2016</value>
        </yearOfInc>
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    <relatedPersonsList>
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            <relatedPersonName>
                <firstName>Guy</firstName>
                <lastName>Major</lastName>
            </relatedPersonName>
            <relatedPersonAddress>
                <street1>c/o Maples Fiduciary Services (Delaware)</street1>
                <street2>4001 Kennett Pike, Suite 302</street2>
                <city>Wilmington</city>
                <stateOrCountry>DE</stateOrCountry>
                <stateOrCountryDescription>DELAWARE</stateOrCountryDescription>
                <zipCode>19807</zipCode>
            </relatedPersonAddress>
            <relatedPersonRelationshipList>
                <relationship>Director</relationship>
            </relatedPersonRelationshipList>
            <relationshipClarification>Director of Soter Fund Services (US) LLC (the &quot;General Partner&quot;)</relationshipClarification>
        </relatedPersonInfo>
        <relatedPersonInfo>
            <relatedPersonName>
                <firstName>Ed</firstName>
                <lastName>Truitt</lastName>
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                <street1>c/o Maples Fiduciary Services (Delaware)</street1>
                <street2>4001 Kennett Pike, Suite 302</street2>
                <city>Wilmington</city>
                <stateOrCountry>DE</stateOrCountry>
                <stateOrCountryDescription>DELAWARE</stateOrCountryDescription>
                <zipCode>19807</zipCode>
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            <relationshipClarification>Director of the General Partner</relationshipClarification>
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        <relatedPersonInfo>
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                <firstName>Scott</firstName>
                <lastName>Huff</lastName>
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                <street2>4001 Kennett Pike, Suite 302</street2>
                <city>Wilmington</city>
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                <stateOrCountryDescription>DELAWARE</stateOrCountryDescription>
                <zipCode>19807</zipCode>
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            <relatedPersonRelationshipList>
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            <relationshipClarification>Director of the General Partner</relationshipClarification>
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            <investmentFundInfo>
                <investmentFundType>Other Investment Fund</investmentFundType>
                <is40Act>false</is40Act>
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        </industryGroup>
        <issuerSize>
            <aggregateNetAssetValueRange>Decline to Disclose</aggregateNetAssetValueRange>
        </issuerSize>
        <federalExemptionsExclusions>
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            <item>06b</item>
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            <dateOfFirstSale>
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            </dateOfFirstSale>
        </typeOfFiling>
        <durationOfOffering>
            <moreThanOneYear>true</moreThanOneYear>
        </durationOfOffering>
        <typesOfSecuritiesOffered>
            <isPooledInvestmentFundType>true</isPooledInvestmentFundType>
        </typesOfSecuritiesOffered>
        <businessCombinationTransaction>
            <isBusinessCombinationTransaction>false</isBusinessCombinationTransaction>
        </businessCombinationTransaction>
        <minimumInvestmentAccepted>250000</minimumInvestmentAccepted>
        <salesCompensationList>
            <recipient>
                <recipientName>Morgan Stanley Smith Barney</recipientName>
                <recipientCRDNumber>149777</recipientCRDNumber>
                <associatedBDName>None</associatedBDName>
                <associatedBDCRDNumber>None</associatedBDCRDNumber>
                <recipientAddress>
                    <street1>2000 Westchester Avenue</street1>
                    <city>Purchase</city>
                    <stateOrCountry>NY</stateOrCountry>
                    <stateOrCountryDescription>NEW YORK</stateOrCountryDescription>
                    <zipCode>10577-2530</zipCode>
                </recipientAddress>
                <statesOfSolicitationList>
                    <value>All States</value>
                </statesOfSolicitationList>
                <foreignSolicitation>false</foreignSolicitation>
            </recipient>
        </salesCompensationList>
        <offeringSalesAmounts>
            <totalOfferingAmount>Indefinite</totalOfferingAmount>
            <totalAmountSold>0</totalAmountSold>
            <totalRemaining>Indefinite</totalRemaining>
        </offeringSalesAmounts>
        <investors>
            <hasNonAccreditedInvestors>false</hasNonAccreditedInvestors>
            <totalNumberAlreadyInvested>0</totalNumberAlreadyInvested>
        </investors>
        <salesCommissionsFindersFees>
            <salesCommissions>
                <dollarAmount>0</dollarAmount>
            </salesCommissions>
            <findersFees>
                <dollarAmount>0</dollarAmount>
            </findersFees>
        </salesCommissionsFindersFees>
        <useOfProceeds>
            <grossProceedsUsed>
                <dollarAmount>0</dollarAmount>
            </grossProceedsUsed>
        </useOfProceeds>
        <signatureBlock>
            <authorizedRepresentative>false</authorizedRepresentative>
            <signature>
                <issuerName>PE Premier Abraaj Growth Markets Health Onshore Feeder LP</issuerName>
                <signatureName>/s/ Michael Korn</signatureName>
                <nameOfSigner>Michael Korn</nameOfSigner>
                <signatureTitle>Authorized Signatory</signatureTitle>
                <signatureDate>2016-04-19</signatureDate>
            </signature>
        </signatureBlock>
    </offeringData>
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