The winger still did enough to secure a place in Didier Deschamps' France squad for the Federation Internationale de Football Association 2018 World Cup in Russia.
According to Canal + France (via Sport), Griezmann has called a press conference for Tuesday afternoon, and will announce that he is set to remain in the Spanish capital next season.
The duo are being interviewed at the same time, reeling off names of their favourite players as the presenter says: 'They are so cute we can not refuse them anything'.
Griezmann is part of the France squad for this summer's World Cup squad and will be a key part of the team going into the tournament, in which they are one of the favourites.
While Manchester United have been linked with Griezmann previously, Deschamps said the forward was staying in Spain.
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She said the global community was at the beginning of a very long process: "The detail is still to be worked through". So you never know. "So talking about withdrawal of U.S. forces is something that needs to be really thought through".
"I'm very calm, I'm focused on the World Cup, which is the most important thing now". I know that many of you were waiting for [his decision], but I will not be revealing it today.
Griezmann is contracted at Atletico - the club he joined in 2014 - until 2022, but Barcelona are reportedly prepared to trigger his €100million release clause.
"He is a complete player but it is his decision".
He made his France debut in 2016 and has scored three goals in 12 worldwide games.