The home side had plenty of possession in the first period, but they fell behind after 42 minutes when Alberto Botia headed home from close range.
The turnaround was complete just before the hour mark when Lionel Messi converted from close range to score his 38th league goal of the season.
Read how it all unfolded in Sports Mole's minute-by-minute live commentary of the action below.
BARCELONA: Valdes; Alves, Pique, Mascherano, Montoya; Iniesta, Song, Thiago; Messi, Villa, Sanchez
SEVILLA: Beto; Maduro, Navarro, Fazio, Coke; Botia, Navas, Rakitic, Medel, Manu; Diawara