Marseille had been desperate to win the second European trophy in their history, on French soil, 25 years after beating AC Milan in the inaugural Champions League final.
"It's hard to explain how happy I feel after so much time, it was a dream I've always had since I was a child", Torres told reporters.
Gabi made absolutely sure of Atletico's sixth trophy under Simeone with a strike from the right side of the penalty area, as Koke claimed his second assist, and the departing Fernando Torres was then brought on for a glorious swansong in stoppage time.
Four minutes after the re-start, Koke ran into a hole in the Marseille midfield and slipped the ball to Griezmann who dinked the ball past Mandanda. At the end of the match Costa in the counterattack found Gabi, and he scored his first t-shirt "Atletico" in 2015.
The France star has been tipped to leave Atletico at the end of the season after four years in the Spanish capital, with speculation that he will join Barcelona.
The France worldwide has been persistently linked with a move away from the Wanda Metropolitano, with Barcelona reported being among his biggest admirers. But when Anguissa's error was anticipated and pounced upon by Gabi, the locally born, boyhood Lyon fan was super cool as he tricked his France teammate Mandanda and rolled the ball nervelessly into the net.
But Griezmann, who has now won two trophies since arriving at Atletico in 2014, said any discussions about his future would have to wait.
"I was determined to take the opportunity to win one tonight". They had previously won the Europa League in 2010 and again in 2012, the latter coming just six months after Diego Simeone's appointment as coach.
Not that OM did not make a real go of it.
Striker Valère Germain then had a great chance to open the scoring for the Ligue 1 side with less than five minutes played, only to fire wide when through on goal. Payet soon succumbing to injury was another huge blow, as the France worldwide was his team's most likely to magic a way through the super-tight Atletico defence.
"It was a dream of mine to win a trophy with Atleti, with Simeone and with my team mates", Griezmann added.