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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2018-12-31</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>2018-12-31</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>2535</value>
                    <footnoteId id="F1"/>
                </transactionShares>
                <transactionPricePerShare>
                    <value>36.23</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>743773</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See Footnote</value>
                    <footnoteId id="F2"/>
                </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>296511</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 819 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 1,716 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">Includes shares held indirectly by Mercury Assets Delaware LLC through its limited partnership interest in Fox Mercury Investments, L.P., which owns 988,370 shares.  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.  Mercury Assets Delaware LLC is a minority shareholder 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) II, 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.  Mercury Assets Delaware LLC is a minority shareholder 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. Fox Paine Capital Co-Investors International GP, Ltd. is the general partner of U.N. Co-Investment Fund III (Cayman), L.P.  The sole shareholder of Fox Paine Capital Co-Investors International GP, Ltd 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. Co-Investment Fund III (Cayman), L.P.  Mercury Assets Delaware LLC is a minority shareholder of GPLTD.  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. through its indirect limited partnership interest in Fox Mercury Investments, L.P., which owns 988,370 shares.  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>2019-01-03</signatureDate>
    </ownerSignature>
</ownershipDocument>
