Griezmann's current contract runs until the summer of 2026.
At the end of December, the striker declared he wanted to finish his career in the USA, but that he also would like to extend his contract with Atletico - which he wants to be his last club in Europe.
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Now Relevo says Atletico Madrid intend to offer Griezmann new terms.
And it is the ambition of both parties to agree on a new deal.
Griezmann has scored 178 goals and 84 assists in a total of 382 competitive matches for Atletico Madrid.