But the France global is linked with a move to Barcelona in the close-season despite being contracted until 2022.
That deal reportedly has a release clause set at €100million, which the Atletico chief executive Miguel Angel Gil Marin is keen to increase.
"If he stays with us, we'll continue to grow and develop".
Manchester United chased Griezmann for much of last year, while Barcelona has emerged as the 27-year-old's most likely destination this summer.
"I am not optimistic or pessimistic".
The French global has finally managed to break the second place curse, beating Marseille 3-0 in the final to lift the UEFA Europa League trophy. "I dedicate this to all the fans that came here and all the ones that are waiting for us in Madrid".
"They were very attacking, worked well, but we were also doing our thing", he said.
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"It's about more than a trophy", Simeone said.
"We know he wants to stay and we want him to stay".
The France forward was quoted by Marca as saying after the game: "Now is not the time to talk about the future".
Atletico coach Diego Simeone, who praised Griezmann for being decisive in the most important moment in the game, said now that they are also in the Uefa Super Cup, they can be considered on a par with the best European clubs.
"I thought it was emotional", Gabi explained.
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. "If he goes then great, he's given a lot to us over the years".
Says media with reference to Catalan newspaper Sport, Barcelona are willing to pay Atletico the amount that exceeds 100 million euros, which from 1 July will be activated in his contract as compensation.
Volcanic activity forces evacuations in Hawaii
The Times said at least 50 volcanoes have been active there since 1760, attracting volcanologist and volcano watchers alike. Hawaii County officials have also warned of toxic gas and urged residents to leave the area as it may cause suffocation.
Donald Trump Jr.'s meeting with Russian lawyer
The White House has said the president was involved in drafting an initial statement after news of the meeting broke past year . A big question has been whether that was his father, and whether Trump Jr . might have informed his father about the meeting.
Michigan St. settles with Nassar victims for $500M
Lou Anna Simon resigned as school president and athletic director Mark Hollis announced his retirement earlier this year as well. Olympic gold medal winners Aly Raisman , Jordyn Wieber, McKayla Maroney , and Gabby Douglas are among his accusers, per NBC .