Cristiano Ronaldo's 90th-minute winner capped a memorable fightback by the Spanish champions, who trailed 2-1 with five minutes to play.
Ronaldo, who returned to the Santiago Bernabeu for the first time since saying he felt "sad" at the club, celebrated his goal this time around. But he did not suggest his mood had turned, saying "how I am doesn't matter."
Coach Jose Mourinho surprised by leaving Sergio Ramos on the bench despite the Spain defender rarely missing a game since 2005.
Spanish media suggested Ramos was singled out for recent defeats with Mourinho defending his purely "technical" decision.
