Download Levante Vs Barcelona 3 - 3 (LaLiga League) Highlights Mp4
Barca move up to second, above Real Madrid, but would have gone top with a victory and are one point behind leaders Atletico Madrid, who have a game in hand.
Atletico have three matches left and will become Spanish champions for the first time since 2013-14 if they win all of them.
Barca midfielder Sergio Busquets admitted his sides chances of winning La Liga for the 27th time, were now slim.
"There are very few options for us to win the league now," he said.
"It feels terrible. We werent able to win the game, we started well, got the advantage and the second goal, but could not get a third. As has happened too many times, errors have cost us.
"The point means very little to us. We werent precise with our passing and they took full advantage. We had our chances but we paid for our mistakes - weve not had a good second half.
"It is our fault and we take responsibility - we allow teams to score too easily against us."