Until then, Marseille had dreamt to write a story of fairy tale-esque proportions, to become the first French club to lift the UEFA Europa League under an electrifying atmosphere at Stade de Lyon.
Skipper Dimitri Payet's clinical pass on a counter-attack found Valere Germain, whose shot went beyond the cross-bar.
They were made to pay for their inability to put the Spanish side behind when a costly error by Andre Zambo Anguissa was punished by Greizmann as he slid the ball past Steve Mandanda in goal. The misery was compounded by the loss of Marseille's talismanic defender and captain Dmitri Payet to injury after only half an hour played.
Belying their status as underdogs, Mrseille started pretty well and could have taken the lead in the opening few minutes via former Newcastle midfielder Florian Thauvin.
While a late headed strike by Marseille's Kostas Mitroglou - a 74th minute substitute - could have swung the momentum, it was not to be, and the ball rebounded harmlessly off the upright.
Atleti's Antoine Griezmann did this celebration after each of his two goals scored on Tuesday. It is a blow for the Spanish side to be without Simeone, and even Marseille coach Rudi Garcia lamented his ban, but Burgos is a big enough character to ensure the Argentine is not missed too much.
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It looked like they might just catch the Spanish side off guard and they nearly did but Payet's defence-splitting through ball couldn't be finished off by Valere Germain. Against a team like Atletico you can not afford to fall behind as it becomes hard.
Atletico's build-up to this match has been overshadowed to some extent by constant speculation about his future, with the France striker being tipped to join Barcelona after the World Cup. "I left home when I was 14 for that". Hats off to Marseille, a great team.
'If he leaves, I just want to let him know I love him'.
Atletico were practically gifted the first of their three goals in the 3-0 win.
It wasn't just down to hard work though, for Atletico Madrid's crown jewel Griezmann had a profound impact on his club's strong finish to the season. 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.