It was Marseille's best chance until substitute Kostas Mitroglou hit the post in the 81st minute, by which time it was already 2-0.
Atletico Madrid coach Diego Simeone hailed the Europa League as the competition that helped revive his team when he took over a club in decline in 2012 and turned them into one of the most consistent teams in continental football.
"We're very happy. We've been working very well these past years", Simeone gushed to the media after the 3-0 win over Olympique de Marseille. Operating a rung below those of super-clubs, Rudi Garcia managed a band of talented, technically astute players who were proclaimed misfits elsewhere only to be allowed to dream on the French Riviera. He could play off the front two of Griezmann and Diego Costa, offering the same kind of threat that saw him score the victor at Getafe in La Liga at the weekend.More news: Melania Trump's successful embolization treatment casts spotlight on interventional radiology
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Atletico's star man up front has been the subject to intense speculation all season that he will leave, with United and Barcelona linked. Captain Gabi finished Marseille off late in the game by stroking home the third goal to seal the win.
Koscielny suffered the injury playing for Arsenal in the Europa League semi-final against Atletico Madrid.
"We had the best goal scoring chance right at the start and then we made a mistake, trying to build an attack, and that cost us a goal", Garcia told reporters.
"I think 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 said. "Even without him we'll continue to grow". "We've known each other for almost all our lives, we have the same vision of football so whatever I'm thinking, he is thinking the same". "Physically he is in good shape and for him, it is important to win a title because he needs it, and that is the only thing that matters to him", veteran midfielder Gabi said ahead of the game. They've maybe not been together as long as we have but they're just as enthusiastic and work hard.