But Madrid were given a last-gasp penalty when Mehdi Benatia bumped into Lucas Vazquez inside Juventus' area.
Goalkeeper Gianluigi Buffon was then shown a red card by English referee Michael Oliver amid vehement Juve protests in a sad Champions League farewell for the veteran keeper, who was playing his 160th match in UEFA competitions.
Juve were left incensed by the decision
Cristiano Ronaldo's incredible overhead kick was the talk of the town after Real Madrid's first leg win against Juventus earlier this month, but teammate Isco deserved a hell of a lot of credit for his performance.
"It was a very long game and it serves as a lesson that in football nothing is guaranteed and that we have to fight until the end", Ronaldo said.
While Juventus players raged at the awarding of the penalty, Marca's front page simply reads "It was a penalty!", with a picture of Medhi Benatia appearing to push Lucas Vazquez from behind. His 41st goal of the season spared Real's blushes after Juventus had come from 3-0 down from the first leg to level the tie at 3-3.
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Of guiding Liverpool to the semi-finals for the first time since 2008 Jürgen Klopp said: "It will be hard , 200 per cent". Gabriel Jesus admitted Manchester City's Champions League exit was tough to take.
Reflecting on the 3-1 defeat at the Bernabeu, Ronaldo added: "We have suffered, but it helps us to learn". I can't believe they say we went through thanks to the referee, that it was a robbery.
Ronaldo admitted he had to calm himself down before stepping up and slotting home his 120th Champions League goal, followed by a shirtless celebration.
In dramatic fashion, Real Madrid saved themselves from an embarrassing collapse - and probably saved Zinedine Zidane's job.
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The Prime Minister also warned Russian Federation that the air strikes should act as a warning over its use of chemical weapons.
"I have seen some of their games, it's surprising they are bottom of the table, but our aim is to go there and win". Not about the penalty because that's down to interpretation, for me it is and the referee gave it, but the stuff about the robbery.
"We started the game saying to each other that we had 0.000001 percent chance of qualifying but you never know in life, especially because we have a team with players with fantastic characters who are capable of everything", he said.
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Born in London , Sorrell studied economics at the University of Cambridge and then gained a masters from Harvard University. Sorrell will be available to assist with the transition.