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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2015-07-01</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001620546</issuerCik>
        <issuerName>Baxalta Inc</issuerName>
        <issuerTradingSymbol>BXLT</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001220966</rptOwnerCik>
            <rptOwnerName>GAVIN JAMES R III</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O BAXALTA INCORPORATED</rptOwnerStreet1>
            <rptOwnerStreet2>ONE BAXTER PARKWAY</rptOwnerStreet2>
            <rptOwnerCity>DEERFIELD</rptOwnerCity>
            <rptOwnerState>IL</rptOwnerState>
            <rptOwnerZipCode>60015</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <derivativeTable>
        <derivativeTransaction>
            <securityTitle>
                <value>Deferred Comp Plan Baxalta Common Stock Fund</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <footnoteId id="F1"/>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2015-07-01</value>
                <footnoteId id="F2"/>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>6573</value>
                    <footnoteId id="F3"/>
                </transactionShares>
                <transactionPricePerShare>
                    <value>31.50</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <footnoteId id="F3"/>
            </exerciseDate>
            <expirationDate>
                <footnoteId id="F3"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock, $0.01 par value</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>6573</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>6573</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeTransaction>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">1 for 1.</footnote>
        <footnote id="F2">This transaction is being reported late due to an inadvertent administrative error.</footnote>
        <footnote id="F3">On July 1, 2015, as a result of the spin-off (the &quot;Spin-Off&quot;) of Baxalta Incorporated from Baxter International Inc. (&quot;Baxter&quot;), the value of the reporting person's investment in the Baxter Common Stock Fund notional investment alternative under Baxter's Non-Employee Director Deferred Compensation Plan declined in accordance with the reduction in the trading price of Baxter common stock.  To preserve the pre-Spin-Off value of the reporting person's deferred compensation and to reflect the dividend of one share of Baxalta common stock that was received for each share of Baxter common stock in the Spin-Off, an amount equal to approximately 45.6% of the value of the reporting person's deferred compensation in the Baxter Common Stock Fund notional investment alternative immediately prior to the Spin-Off was invested in the Baxalta Common Stock Fund notional investment alternative under Baxter's Non-Employee Director Deferred Compensation Plan.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Stephanie D. Miller, Attorney-in-Fact for James R. Gavin III.</signatureName>
        <signatureDate>2015-08-07</signatureDate>
    </ownerSignature>
</ownershipDocument>
