Atletico have been staring down the barrel of every other disappointing defeat at the Wanda Metropolitano whilst Yunus Musah and Hugo Duro positioned Valencia up at half-time.
Matheus Cunha pulled one again simply after the hour for Atletico however the actual drama become stored for damage-time, while Angel Correa equalised after which two minutes later Mario Hermoso struck the winner to finish an tremendous turnaround.
After six defeats in their previous 10 games, Atletico will wish a stirring victory can function a springboard for the second half of of the season.
Simeone changed into ecstatic on the very last whistle, celebrating with the players and enthusiasts like a educate who has had his personal role wondered in recent weeks.
"It was a primary 1/2 wherein we were not ourselves," said Simeone.
"We went into half-time feeling down, hectic, sad. We said if we had to lose, we had to lose with delight, with braveness, and that if we scored a aim, the lovers might carry us lower back, that is what took place."
Defeat should have seen Atletico finish the weekend in 7th, with Barcelona, Real Sociedad and Rayo Vallecano all nevertheless to play.
Instead, they pull three factors clear of La Real, and four ahead of Barca, who play Getafe and Alaves respectively on Sunday.
Valencia, in the meantime, could were right within the mix for the pinnacle 4 with a win however they sit down ninth, seven factors at the back of Atletico in fourth.
The traffic took the lead in the 25th minute while Musah arrowed a exceptional shot into the lowest corner at the cease of a damage that began while Hermoso changed into spun too without difficulty by means of Goncalo Guedes.