The agriculture minister met with members of the UK Protected Food Name Association in London
Representatives from Cornwall, Kent, Jersey, Shetland and Anglesey met Mr Eustice last week to discuss the future of foods currently protected by EU law.
Foods including Welsh lamb and Welsh beef have EU-awarded designations such as Protected Geographical Indication (PGI) and Protected Designation of Origin (PDO) which have been used to market the products abroad.
Mr Eustice confirmed the Government would work to introduce an equivalent scheme in UK law post-Brexit, similar to non-EU goods such as Colombian Coffee.
Meat Promotion Wales (HCC) chief executive Gwyn Howells said: “The PGI status enjoyed by Welsh Lamb and Welsh Beef place our products in the same category as premium goods such as Champagne.
“As well as protecting our meat against imitation and giving customers confidence in its authenticity and traceability, the PGI status has been a cornerstone of marketing efforts which have seen lamb exports rise from £57 million in 2004 to £133 million in the space of a decade,” he said.
“A seamless transition is what’s needed, to ensure continuity in marketing efforts in Britain, Europe and beyond.”