The goals cancelled out Real's resounding win a week earlier but Lucas Vazquez won a last-gasp penalty and Juventus goalkeeper and captain Gianluigi Buffon was given a straight red card for venting his fury at English referee Michael Oliver.
But with extra time seconds away, Oliver pointed to the spot when Medhi Benatia's push on Lucas Vazquez was adjudged to be a foul and sent off Buffon for his reaction amid Juve's angry protests.
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"Ramos said the penalty was "claro" [clear] and I told him: "Not so "claro", let's say grey".
In the 93rd minute of the second leg between Juve and Real Madrid, this penalty decision would see Juve eliminated on aggregate.
"My pulse was racing but I stayed calm, I knew it was decisive", said Ronaldo.
"I don't understand why they protested the penalty", he said. "You can't destroy dreams like that".
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"If you break a dream like this and ruin an epic feat it means that instead of the heart you have a garbage bin".
Juventus president Andrea Agnelli urged the introduction of VAR to the Champions League, but Chiellini felt that missed the point in this case. "It's a pity, the performance of the boys remains, we confirmed - as did PSG last season and Roma last night - proved you can come back from 3-0 down to turn things around".
The Real Madrid forward's acrobatic effort helped his side to a 3-0 lead in the quarter-final first-leg as the reigning champions eventually booked their place in the final four.
Buffon had been the star of the show as he showed why he's still one of the world's best, despite his age, as he pulled off crucial saves to keep Juve's hopes alive.
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Ramos is one of Madrid's most important players and was sorely missed last night as Madrid surrendered a three goal cushion. Arsenal boss Arsene Wenger admits it's the Europa League or bust as they chase Champions League qualification.
"Napoli are still waiting for a misstep from us, but on Sunday we have an important match [against Sampdoria] which would allow us to stay ahead of Napoli, with six games to the end".