According to Javier Giraldo of Sport, Barcelona want a decision from the player regarding his future soon, as his €100 million (£88 million) release clause doubles on July 1.
Griezmann has still not confirmed whether or not he's planning to stay with Atletico Madrid as both the Blaugrana and Manchester United have been linked with summer moves. "He is going through an exceptional time in his career".
Although Barca already have plenty of options in attack, with Messi and Luis Suarez complemented by Philippe Coutinho and Ousmane Dembele, the Argentina global told Mundo Deportivo he was sure he and Griezmann would hit it off on the pitch, and that Barca boss Ernesto Valverde would find a solution to the possible selection puzzle.
Now reports in Belgium and England are suggesting Fellaini's advisers have held talks with Arsenal, with new Gunners boss Unai Emery believed to be keen to add the experienced Premier League performer to his ranks.
Messi, who has previously said he would welcome Griezmann at the Camp Nou, has again insisted the 27-year-old is one of the best in the business and that he would suit the Catalans. As Giraldo noted, Griezmann previously said he will make a choice before the FIFA World Cup, which begins on June 14.