On the day Barca confirmed that the winger wants to leave as he closes in on a move to Manchester United, he pounced on a rebound from a Lionel Messi free kick to make the difference for his side.
His goal brought an end to an absurd game which was end-to-end from start to finish.
Sevilla took an early lead against the Champions League holders through Ever Banega, but a Lionel Messi free-kick four minutes later pulled Barca level.
Luis Enrique's men then raced to a 4-1 lead through another Messi free-kick and goals from Rafinha and Luis Suarez.
However, Sevilla forced their way back into the game with Jose Antonio Reyes, Kevin Gameiro and Yevheniy Konoplyanka scoring to take the game into extra-time.
And with five minutes left to the game, Pedro pounced on a rebound and fired in the winning goal as his side continue the hunt for the sextuple.
