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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2015-10-27</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001645926</issuerCik>
        <issuerName>Multi Packaging Solutions International Ltd</issuerName>
        <issuerTradingSymbol>MPSX</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001548624</rptOwnerCik>
            <rptOwnerName>Carlyle Group Management L.L.C.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O THE CARLYLE GROUP</rptOwnerStreet1>
            <rptOwnerStreet2>1001 PENNSYLVANIA AVE. NW, SUITE 220 S.</rptOwnerStreet2>
            <rptOwnerCity>WASHINGTON</rptOwnerCity>
            <rptOwnerState>DC</rptOwnerState>
            <rptOwnerZipCode>20004-2505</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001475444</rptOwnerCik>
            <rptOwnerName>TC Group Cayman Investment Holdings, L.P.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O INTERTRUST CORPORATE SERVICES,</rptOwnerStreet1>
            <rptOwnerStreet2>190 ELGIN AVENUE,</rptOwnerStreet2>
            <rptOwnerCity>GEORGE TOWN, GRAND CAYMAN</rptOwnerCity>
            <rptOwnerState>E9</rptOwnerState>
            <rptOwnerZipCode>KY1-9005</rptOwnerZipCode>
            <rptOwnerStateDescription>CAYMAN ISLANDS</rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001548636</rptOwnerCik>
            <rptOwnerName>TC Group Cayman Investment Holdings Sub L.P.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O INTERTRUST CORPORATE SERVICES,</rptOwnerStreet1>
            <rptOwnerStreet2>190 ELGIN AVENUE,</rptOwnerStreet2>
            <rptOwnerCity>GEORGE TOWN, GRAND CAYMAN</rptOwnerCity>
            <rptOwnerState>E9</rptOwnerState>
            <rptOwnerZipCode>KY1-9005</rptOwnerZipCode>
            <rptOwnerStateDescription>CAYMAN ISLANDS</rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001527166</rptOwnerCik>
            <rptOwnerName>Carlyle Group L.P.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O THE CARLYLE GROUP</rptOwnerStreet1>
            <rptOwnerStreet2>1001 PENNSYLVANIA AVE. NW, SUITE 220 S.</rptOwnerStreet2>
            <rptOwnerCity>WASHINGTON</rptOwnerCity>
            <rptOwnerState>DC</rptOwnerState>
            <rptOwnerZipCode>20004-2505</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001548629</rptOwnerCik>
            <rptOwnerName>Carlyle Holdings II GP L.L.C.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O THE CARLYLE GROUP</rptOwnerStreet1>
            <rptOwnerStreet2>1001 PENNSYLVANIA AVE. NW, SUITE 220 S.</rptOwnerStreet2>
            <rptOwnerCity>WASHINGTON</rptOwnerCity>
            <rptOwnerState>DC</rptOwnerState>
            <rptOwnerZipCode>20004-2505</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001548630</rptOwnerCik>
            <rptOwnerName>Carlyle Holdings II L.P.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O THE CARLYLE GROUP</rptOwnerStreet1>
            <rptOwnerStreet2>1001 PENNSYLVANIA AVE. NW, SUITE 220 S.</rptOwnerStreet2>
            <rptOwnerCity>WASHINGTON</rptOwnerCity>
            <rptOwnerState>DC</rptOwnerState>
            <rptOwnerZipCode>20004-2505</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Shares</value>
            </securityTitle>
            <transactionDate>
                <value>2015-10-27</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>S</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>1279614</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>12.2525</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>27955571</value>
                    <footnoteId id="F1"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See footnote</value>
                    <footnoteId id="F2"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">Excludes 1,734,531 shares previously reported as beneficially owned by the Reporting Persons, which were distributed in in connection with a pro rata distribution in-kind to all shareholders of Chesapeake Holdings Ltd. CEP III Chase S.a r.l. (&quot;CEP III&quot;) was the majority shareholder of Chesapeake Holdings Ltd.</footnote>
        <footnote id="F2">Includes 26,913,072 shares held by CEP III and 1,042,499 shares held by Chase Manco L.P. Carlyle Group Management L.L.C. is the general partner of The Carlyle Group L.P., which is a publicly traded entity listed on NASDAQ. The Carlyle Group L.P. is the managing member of Carlyle Holdings II GP L.L.C., which is the general partner of Carlyle Holdings II L.P., which is the general partner of TC Group Cayman Investment Holdings, L.P., which is the general partner of TC Group Cayman Investment Holdings Sub L.P., which is the sole shareholder of CEP III Managing GP Holdings, Ltd., which is the general partner of CEP III Managing GP, L.P., which is the general partner of Carlyle Europe Partners III, L.P., which is the sole shareholder of CEP III Participations, S.a r.l., SICAR, which is the sole shareholder of CEP III Chase S.a r.l. (&quot;CEP III&quot;), which is the sole shareholder of Chase Manco, G.P. Limited, which is the general partner of Chase Manco L.P.</footnote>
    </footnotes>

    <remarks>Due to the limitations of the electronic filing system, each of CEP III Managing GP Holdings, Ltd., CEP III Managing GP, L.P., Carlyle Europe Partners III, L.P., CEP III Participations S.a r.l., SICAR, CEP III Chase S.a r.l., Chase Manco G.P. Limited and Chase Manco, L.P. are filing a separate Form 4.</remarks>

    <ownerSignature>
        <signatureName>Carlyle Group Management L.L.C., By: /s/ Jeffrey W. Ferguson, attorney-in-fact</signatureName>
        <signatureDate>2015-10-28</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>The Carlyle Group L.P., By: Carlyle Group Management L.L.C., its general partner, By: /s/ Jeffrey W. Ferguson, attorney-in-fact</signatureName>
        <signatureDate>2015-10-28</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>Carlyle Holdings II GP L.L.C., By: The Carlyle Group L.P., its managing member, By: Carlyle Group Management L.L.C., its general partner, By: /s/ Jeffrey W. Ferguson, attorney-in-fact</signatureName>
        <signatureDate>2015-10-28</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>Carlyle Holdings II L.P., By: /s/ Jeffrey W. Ferguson, attorney-in-fact</signatureName>
        <signatureDate>2015-10-28</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>TC Group Cayman Investment Holdings, L.P., By: Carlyle Holdings II, L.P., its general partner, By: /s/ Jeffrey W. Ferguson, attorney-in-fact</signatureName>
        <signatureDate>2015-10-28</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>TC Group Cayman Investment Holdings Sub L.P., By: TC Group Cayman Invesment Holdings, L.P., its general partner, By: Carlyle Holdings II, L.P., its general partner, By: /s/ Jeffrey W. Ferguson, attorney-in-fact</signatureName>
        <signatureDate>2015-10-28</signatureDate>
    </ownerSignature>
</ownershipDocument>
