<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2018-03-31</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001494904</issuerCik>
        <issuerName>Global Indemnity Ltd</issuerName>
        <issuerTradingSymbol>GBLI</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001099187</rptOwnerCik>
            <rptOwnerName>FOX SAUL A</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O GLOBAL INDEMNITY GROUP, INC.</rptOwnerStreet1>
            <rptOwnerStreet2>3 BALA PLAZA EAST, SUITE 300</rptOwnerStreet2>
            <rptOwnerCity>BALA CYNWYD</rptOwnerCity>
            <rptOwnerState>PA</rptOwnerState>
            <rptOwnerZipCode>19004</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Class A Ordinary Shares</value>
            </securityTitle>
            <transactionDate>
                <value>2018-03-31</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>2620</value>
                    <footnoteId id="F1"/>
                </transactionShares>
                <transactionPricePerShare>
                    <value>34.52</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>765290</value>
                    <footnoteId id="F2"/>
                    <footnoteId id="F3"/>
                    <footnoteId id="F4"/>
                    <footnoteId id="F5"/>
                    <footnoteId id="F6"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See Footnote</value>
                    <footnoteId id="F2"/>
                    <footnoteId id="F3"/>
                    <footnoteId id="F4"/>
                    <footnoteId id="F5"/>
                    <footnoteId id="F6"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Class A Ordinary Shares</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>2689</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See Footnote</value>
                    <footnoteId id="F3"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Class A Ordinary Shares</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>14763</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See Footnote</value>
                    <footnoteId id="F4"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Class A Ordinary Shares</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>23575</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See Footnote</value>
                    <footnoteId id="F5"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Class A Ordinary Shares</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>267702</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See Footnote</value>
                    <footnoteId id="F6"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">Represents the grant of 848 shares of restricted A ordinary shares under the Issuer's Share Incentive Plan that vest on the 24 month anniversary of the award in recognition of service rendered as a Board member to Global Indemnity Limited, and 1,772 shares of restricted A ordinary shares under the Issuer's Share Incentive Plan that vest on the 24 month anniversary of the award in recognition of service rendered as a Board member to Global Indemnity Group, Inc., an indirect wholly-owned subsidiary of the Issuer.</footnote>
        <footnote id="F2">The sole member of Mercury Assets Delaware LLC is Benjerome Trust.  Mr. Fox is the sole trustee of the Benjerome Trust.  Mr. Fox disclaims beneficial ownership of these securities except to the extent of his indirect pecuniary interest therein.</footnote>
        <footnote id="F3">Shares owned by U.N. Holdings (Cayman), Ltd.  Mr. Fox is a director of U.N. Holdings (Cayman), Ltd. A majority of the outstanding share capital of U.N. Holdings (Cayman), Ltd. is held by Fox Paine Capital Fund II International, L.P. (Fund II).  The sole general partner of Fund II is FP International LPH, L.P.  The sole general partner of FP International LPH, L.P. is Fox Paine International GP, Ltd. (&quot;GPLTD&quot;).  As a result, GPLTD may be deemed to control the Ordinary Shares owned by U.N. Holdings (Cayman), Ltd.  Mr. Fox is a director of GPLTD.  Mr. Fox disclaims beneficial ownership of these securities except to the extent of his indirect pecuniary interest therein.</footnote>
        <footnote id="F4">Shares owned by U.N. Holdings (Cayman) II, Ltd.  Mr. Fox is a director of U.N. Holdings (Cayman), Ltd.  A majority of the outstanding share capital of U.N. Holdings (Cayman) II, Ltd. is held by Fund II.  The sole general partner of Fund II is FP International LPH, L.P.  The sole general partner of FP International LPH, L.P. is GPLTD.  As a result, GPLTD may be deemed to control the Ordinary Shares owned by U.N. Holdings (Cayman) II, Ltd.  Mr. Fox is a director of GPLTD.  Mr. Fox disclaims beneficial ownership of these securities except to the extent of his indirect pecuniary interest therein.</footnote>
        <footnote id="F5">Shares owned by U.N. Co-Investment Fund III (Cayman), L.P.  Mr. Fox is a director of Fox Paine Capital Co-Investors International GP, Ltd., which is the general partner of U.N. Co-Investment Fund III (Cayman), L.P.  Mr. Fox disclaims beneficial ownership of these securities except to the extent of his indirect pecuniary interest therein.</footnote>
        <footnote id="F6">Shares held indirectly by Fox Paine Global, Inc.  Mr. Fox is a director of Fox Paine Global, Inc.  Mr. Fox disclaims beneficial ownership of these securities except to the extent of his indirect pecuniary interest therein.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/Stephen W. Ries
Attorney-in-fact</signatureName>
        <signatureDate>2018-04-03</signatureDate>
    </ownerSignature>
</ownershipDocument>
