Marseille, which lost finals at this level in 1999 and 2004, began with urgency, but Germain shot over after being played clear through on goal by Dimitri Payet's slick pass. Adil Rami shot wide moments later as Marseille's positive start upset Atletico's rhythm.
The France global produced an ice-cool finish beyond Marseille goalkeeper Steve Mandanda to put Atletico in charge and he started and finished an exquisite move which effectively killed off the French side early in the second half. "I hope I can continue to win more trophies".
Griezmann, who was named man of the match in Lyon, has been Atletico's leading scorer in each season since he joined from Real Sociedad for £23.7m in July 2014.
He also played a part in the build-up to Gabi's late goal that sealed the victory. I have no doubt that there are certain things that could make it more likely that he stays.
"Florentino called to wish me good luck and said we'll see each other in the UEFA Super Cup", he revealed.
"If he goes then great, he's given a lot to us over the years. If he stays we'll keep growing because we are destined to keep growing".
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Torres' last game in Atletico colours looks set to come at the Wanda Metropolitano on Sunday when the Europa League winners host Eibar.
It was a one-sided final, with the French side unable to match the crisp, confident passing of their Spanish opponents, one of the most consistent clubs in European competition in recent years.
"Simeone has taught me a lot, he made me become a better player and I hope I can keep improving every year, in every game".
"It was a dream of mine to win this trophy with my teammates and with Simeone", the France forward said.
"It wasn't meant to be in the Champions League, but I said to myself that tonight was going to be night and so it was".