But Medhi Benatia fouled Lucas Vazquez in the dying moments, prompting referee Michael Oliver to award a penalty.
After the game, Buffon told reporters that "a human being can not destroy dreams like that at the end of an extraordinary comeback on a dubious situation", referring to Oliver.
Buffon faces an extension to the automatic one-game ban for his red card.
UEFA says the case against Buffon relates to "general principles of conduct" and his red card for confronting the referee.
Script was my bible and Meghna Gulzar was my priest: Vicky Kaushal
All this not because she is incapable - she is the opposite of that - but because her training had to be fast tracked. The reports suggest North India has warmed up to the film much better than the rest of the zones in the country.
Buffon's emotion was in part put down to the fact that, after a long career in which he never lifted the European Cup, it may have been his final act in the Champions League.
He was sent off before Cristiano Ronaldo scored from the penalty spot to send Madrid through 4-3 on aggregate to the semifinals.
After the match, Buffon accused Oliver of having "a bag of rubbish" instead of "a heart" and claimed that he should "sit in the stands" and "eat crisps".
Despite not being directly involved in the foul on Lucas Vazquez, the former Italy global was dismissed by the 33-year-old Premier League official for his abusive reaction; which saw the shot-stopper furiously yelling and grabbing the referee in protest.
Also on Friday, UEFA dismissed an appeal by Atletico Madrid and coach Diego Simeone against a four-game ban for his conduct at the Europa League semifinal first leg at Arsenal.