A late goal from Depay took the game into extra time
Atletico Madrid needed penalties to make it past Inter and into the Champions League quarter-finals after a winning 2-1 on the night, but 2-2 on aggregate.
Federico Dimarco gave Inter a lead just after the half hour, but that lasted two minutes and 16 seconds as Antoine Griezmann took advantage of some slack Nerazzurri defending to level on the night.
Then with just three minutes left to play, Memphis Depay hit the equaliser for Ateti to take the game to extra time, and eventually penalties, where Jan Oblak was the hero after he saved two Inter spot kicks.
Simone Inzaghi has earned a lot of plaudits for his ability to improve his Inter side, even after reaching the Champions League final last term.
A 1-0 victory at San Siro gave the Nerazzurri a slender lead to take to the Spanish capital, where they knew they would face an organized and defensively resolute Atletico Madrid.
Whilst not having the same explosive spark as in years gone by, Diego Simeone was buoyed prior to kick-off by the return of the Champions League's leading goalscorer this season, Antoine Griezmann.
However, Los Colchoneros' earliest chance came through a far more unlikely source. Samuel Lino was set through on goal and he went on a mazy run towards Inter's goal, and he powered a shot across goal, but Yann Sommer made a strong save.
Denzel Dumfries had a nearly identical chance at the other end immediately after, played through by Manchester United alumni Henrikh Mkhitaryan, and the Dutchman used his pace and strength to position himself in front of the last defender.
Dumfries then fired a shot across goal, yet Jan Oblak was able to palm the ball away with his right hand, although a rebound fell
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