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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2016-06-03</periodOfReport>

    <notSubjectToSection16>1</notSubjectToSection16>

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

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001643934</rptOwnerCik>
            <rptOwnerName>ROSA-BJORKESON DAGMAR</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O BAXALTA INCORPORATED</rptOwnerStreet1>
            <rptOwnerStreet2>1200 LAKESIDE DRIVE</rptOwnerStreet2>
            <rptOwnerCity>BANNOCKBURN</rptOwnerCity>
            <rptOwnerState>IL</rptOwnerState>
            <rptOwnerZipCode>60015</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>EVP and President, Biosimilars</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock, par value $0.01 per share</value>
                <footnoteId id="F1"/>
            </securityTitle>
            <transactionDate>
                <value>2016-06-03</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>D</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F2"/>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>71293</value>
                    <footnoteId id="F3"/>
                </transactionShares>
                <transactionPricePerShare>
                    <footnoteId id="F1"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <derivativeTable>
        <derivativeTransaction>
            <securityTitle>
                <value>Stock Option (Right to Buy)</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>33.63</value>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2016-06-03</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>D</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F2"/>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>86669</value>
                </transactionShares>
                <transactionPricePerShare>
                    <footnoteId id="F4"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <footnoteId id="F4"/>
            </exerciseDate>
            <expirationDate>
                <value>2024-12-01</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock, par value $0.01 per share</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>86669</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeTransaction>
        <derivativeTransaction>
            <securityTitle>
                <value>Stock Option (Right to Buy)</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>32.04</value>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2016-06-03</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>D</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F2"/>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>54553</value>
                </transactionShares>
                <transactionPricePerShare>
                    <footnoteId id="F5"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <footnoteId id="F5"/>
            </exerciseDate>
            <expirationDate>
                <value>2025-03-03</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock, par value $0.01 per share</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>54553</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeTransaction>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">This Form 4 is being filed in connection with the June 3, 2016 closing of the merger (the &quot;Merger&quot;) of BearTracks, Inc. (&quot;Merger Sub&quot;) with and into Baxalta Incorporated (&quot;Baxalta&quot;) pursuant to the Agreement and Plan of Merger, dated as of January 11, 2016 (the &quot;Merger Agreement&quot;), among Shire plc (&quot;Shire&quot;), Merger Sub and Baxalta.  Upon closing of the Merger, each outstanding share of Baxalta common stock was converted into the right to receive (i) $18 per share in cash, without interest, and (ii) 0.1482 American Depositary Shares of Shire (&quot;Shire ADSs&quot;) (or, at the holder's election, 0.4446 of a Shire ordinary share) (the &quot;Per Share Merger Consideration&quot;).  On the day prior to the closing date of the Merger, each 0.1482 Shire ADS received in the Merger had a value of $28.16, based on the closing price of a Shire ADS on the NASDAQ Global Select Market on such date.</footnote>
        <footnote id="F2">Disposed of pursuant to the Merger Agreement.</footnote>
        <footnote id="F3">Includes 57,755 unvested restricted stock units that are subject to time-based vesting.  Pursuant to the Merger Agreement, the unvested restricted stock units were cancelled immediately prior to the Effective Time and exchanged in accordance with the ratio set forth in the Merger Agreement into an award of Shire restricted stock units with respect to 13,951 Shire ADSs.</footnote>
        <footnote id="F4">This stock option, which is subject to vesting as to 28,890 shares on December 1, 2016 and 28,890 shares on December 1, 2017, was cancelled immediately prior to the Effective Time and exchanged in accordance with the ratio set forth in the Merger Agreement into an option to purchase 20,940 Shire ADSs with an exercise price of $139.21.</footnote>
        <footnote id="F5">This stock option, which is subject to vesting as to 18,184 shares on March 3, 2017 and 18,185 shares on March 3, 2018, was cancelled immediately prior to the Effective Time and exchanged in accordance with the ratio set forth in the Merger Agreement into an option to purchase 13,180 Shire ADSs with an exercise price of $132.62.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Stephanie D. Miller, as attorney-in-fact for Dagmar Rosa-Bjorkeson</signatureName>
        <signatureDate>2016-06-07</signatureDate>
    </ownerSignature>
</ownershipDocument>
