But the France global is linked with a move to Barcelona in the close-season despite being contracted until 2022.
The speculations continue to grow week after week, and it certainly got on the nerves of Atletico, as chief Miguel Gil Marin slammed the Catalans for "absolute lack of respect".
Gabi said the 27-year-old's team-mates had already tried to convince Griezmann to stay and he hopes the trophy helps. I'm not optimistic or pessimistic. I've been with Atleti for four years and now I have a strong bond - with my teammates, with my fans.
Speaking after the victory, he said: "We love him very much and he deserves good things to happen to him".
The report claims that club president Josep Maria Bartomeu is convinced the La Liga winners have agreed terms with Griezmann and wants to ensure relations with Atletico are not damaged.
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Stopping suddenly right on the red carpet, she defiantly dropped her shoes and went on barefoot, holding them in his hand. Stewart took off her black heels in front of the photographers, turning heads, and climbed the stairs barefoot.
The scoreline mirrored the Spanish side's last Europa League final win over Athletic Bilbao in 2012 and cemented their status as one of the continent's most consistent teams since Argentine coach Diego Simeone transformed their fortunes. "He can't leave us", said Gabi, who scored the third goal against Marseille.
Atletico needs a draw at home against Eibar on Sunday to hold on to second place ahead of Real Madrid and secure its best finish since it won the league in 2014. "We lost a great player at set-pieces".
The outcome could have been different had Marseille forward Valere Germain taken an early chance, before Griezmann's lethal finishing allowed Atletico to take control.
"Now is not the moment to talk about my future, I just want to enjoy myself after my performance, after winning a trophy and I want to celebrate with the fans", Griezmann told reporters.