<?xml version="1.0"?><ownershipDocument><schemaVersion>X0201</schemaVersion>    <documentType>4</documentType><periodOfReport>2003-09-02</periodOfReport><notSubjectToSection16>0</notSubjectToSection16><issuer><issuerCik>0000046445</issuerCik><issuerName>HMI INDUSTRIES INC</issuerName>        <issuerTradingSymbol>HMII</issuerTradingSymbol></issuer><reportingOwner><reportingOwnerId><rptOwnerCik>0001237706</rptOwnerCik><rptOwnerName>BREADNER ROBERT</rptOwnerName></reportingOwnerId><reportingOwnerAddress><rptOwnerStreet1>69 HUNTLEY CRESCENT</rptOwnerStreet1><rptOwnerStreet2></rptOwnerStreet2><rptOwnerCity>KITCHENER</rptOwnerCity><rptOwnerState>A6</rptOwnerState><rptOwnerZipCode>N2M 2R4</rptOwnerZipCode><rptOwnerStateDescription></rptOwnerStateDescription></reportingOwnerAddress><reportingOwnerRelationship><isDirector>1</isDirector><isOfficer>0</isOfficer><isTenPercentOwner>0</isTenPercentOwner><isOther>0</isOther></reportingOwnerRelationship></reportingOwner><nonDerivativeTable><nonDerivativeTransaction><securityTitle><value>Common stock par value $1 per share</value></securityTitle><transactionDate><value>2003-09-02</value></transactionDate><deemedExecutionDate></deemedExecutionDate><transactionCoding><transactionFormType>4</transactionFormType><transactionCode>P</transactionCode><equitySwapInvolved>0</equitySwapInvolved></transactionCoding><transactionTimeliness><value></value></transactionTimeliness><transactionAmounts><transactionShares><value>2500</value></transactionShares><transactionPricePerShare><value>0.8</value></transactionPricePerShare><transactionAcquiredDisposedCode><value>A</value></transactionAcquiredDisposedCode></transactionAmounts><postTransactionAmounts><sharesOwnedFollowingTransaction><value>2500</value></sharesOwnedFollowingTransaction></postTransactionAmounts><ownershipNature><directOrIndirectOwnership><value>I</value></directOrIndirectOwnership><natureOfOwnership><value>Breadner Trailer</value></natureOfOwnership></ownershipNature></nonDerivativeTransaction><nonDerivativeTransaction><securityTitle><value>Common stock par value $1 per share</value></securityTitle><transactionDate><value>2003-09-26</value></transactionDate><deemedExecutionDate></deemedExecutionDate><transactionCoding><transactionFormType>4</transactionFormType><transactionCode>P</transactionCode><equitySwapInvolved>0</equitySwapInvolved></transactionCoding><transactionTimeliness><value></value></transactionTimeliness><transactionAmounts><transactionShares><value>200</value></transactionShares><transactionPricePerShare><value>0.8</value></transactionPricePerShare><transactionAcquiredDisposedCode><value>A</value></transactionAcquiredDisposedCode></transactionAmounts><postTransactionAmounts><sharesOwnedFollowingTransaction><value>2700</value></sharesOwnedFollowingTransaction></postTransactionAmounts><ownershipNature><directOrIndirectOwnership><value>I</value></directOrIndirectOwnership><natureOfOwnership><value>Breadner Trailer</value></natureOfOwnership></ownershipNature></nonDerivativeTransaction></nonDerivativeTable><footnotes></footnotes><remarks></remarks><ownerSignature><signatureName>Robert Breadner</signatureName><signatureDate>2003-10-13</signatureDate></ownerSignature></ownershipDocument>

