However, Madrid still have the advantage as they have a game in hand.
Lionel Messi scored his 500th career goal for Barcelona to give the Catalan club a dramatic 3-2 win in injury time against 10-man Real Madrid in the "clasico" on Sunday, leaving the Spanish league title race wide open.
That was despite playing a man down from the 77th after a foul by Sergio Ramos on Messi.
Barca lead at the top of the table thanks to their better head-to-head record.
Meanwhile Madrid right-back Dani Carvajal is reported to have tormented Luis Suarez over Luis Enrique's side being knocked out of the Champions League.
This effort is the final season in which Luis Enrique will trainer Messi, having declared his intent to depart the team by the end of the period in March.
Asked in a news conference afterwards if Messi was the sole difference in the game, Luis Enrique added: "Of course - that's why he plays for Barca".
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Messi cancelled out Casemiro's opener in the first half before Ivan Rakitic's thunderbolt put Barca ahead 17 minutes from time.
A war of words that often has dominated social media spilled over into real life on Sunday as Sergio Ramos jawed at Gerard Pique moments after the Real Madrid defender was sent off in El Clasico.
"I hope he's back with us before the end of the league", Zidane said.
"The key is to win the points because we absolutely must continue chasing them", the coach stressed referring to runners-up Real Madrid. "We are disappointed because we didn't deserve to lose".
Madrid now need to take at least 16 points from their final six La Liga games to be guaranteed the title.
The Welshman lasted just 38 minutes on his return after missing Madrid's last two outings with persistent ankle problems. I have to look at the game again but I wouldn't have changed anything. We don't know who it will be yet and we're not in a rush [to make an appointment].
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