Didier Deshamps left many top stars out of his World Cup squad but kept faith with Lemar, who scored recently for France in a win over Colombia and bagged a brace previous year against the Dutch.
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.
Griezmann is contracted at Atletico - the club he joined in 2014 - until 2022, but Barcelona are reportedly prepared to trigger his €100million release clause.
Last weekend, Atletico Madrid forward Griezmann said he would confirm his plans before France begin their World Cup campaign against Australia on Saturday. I know that many of you were waiting for [his decision], but I will not be revealing it today.
"I'm sorry for the wait, but today is not the day". I have made my choice.
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It initially was meant to rid the North of its weapons, to forge the " complete denuclearization " of the country. North Korea spent decades developing nuclear weapons, culminating in the test of a thermonuclear device in 2017.
He was just your typical football mad seven-year old in awe of his idols in the flesh at the time, but Griezmann was already in his full kit, wearing the No.7 shirt - a number which he has worn with distinction ever since becoming France's main man.
He has scored three goals in 12 matches with the national team since his November 2016 debut.
But last week Lionel Messi said he was sure he would link up well with Griezmann were he to move to the Camp Nou.
Reports Saturday suggested France coach Didier Deschamps had told Griezmann and Monaco midfielder Thomas Lemar to clarify their futures by the end of the week.