The media gathered at France's World Cup base in Russian Federation to attend a press conference, at which Griezmann would be speaking.
Catalunya Radio reported that Barca remain confident of signing Griezmann as coach Ernesto Valverde was reassured by the club's hierarchy over a meal last week that the forward would be part of his squad 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.
All eyes were on the French press conference in Russian Federation this Tuesday, in which Antoine Griezmann was expected by all in the footballing media to clarify his future.
He said: 'I apologise, I am really very sorry. I think that we will know my future this week. I have made my choice.
"However, today is not the time, nor the place, to say what it is".
They claim Atletico conducted a campaign to keep hold of Griezmann, including manager Diego Simeone, the players and staff.
The 27-year-old is expected to clarify where he will be plying his trade next season before the start of the World Cup in Russian Federation on Thursday.
And the former Real Sociedad youth product confirmed after Saturday's 1-1 draw with the United States that he'll make up his mind in the coming days.
Griezmann is set to once again be France's talisman in a major tournament, after leading his country to the final of the European Championships two years ago.