With ten minutes left, Ousmane Dembélé shot inside the post for Barcelona.
The ball bounced right out of the penalty area but no Barcelona player managed to hit the rebound in the rain.
It was the closest Barcelona came to a winning goal with seven minutes of extra time included.
On the very last kick, Jordi Alba got the chance with a shot from outside but Sevilla's goalkeeper Yassine Bono saved.
After a little over an hour, it got hotter at the sideline.
Sevilla's Jules Koundé got angry at Barcelona's Jordi Alba after a melee and threw the ball in his shoulder.
Alba felt great pain in his face and lay writhing in agony in the wet grass while the referee hauled up the red card.
Alba was then booed out every time he had the ball at Ramón Sánchez Pizjuan Stadium.
With five minutes left, the Swedish national team defender Ludwig Augustinsson was replaced by Sevilla.
Barcelona lifted from eighth to seventh place in the table but is 15 points behind leading rival Real Madrid.
Sevilla is finished second.