Sevilla paid tribute to former captain Marcelo Campanal before the game, and goals from Lucas Ocampos and Fernando delivered a derby win.
Trailing rivals Real Madrid in LaLiga, Gerard Pique wants Barcelona to keep pushing.
Antoine Griezmann ended his wait for another goal and Barcelona head coach Quique Setien was happy with the forward.
Josep Maria Bartomeu was asked about Lionel Messi's future following Sunday's 4-1 LaLiga rout of Villarreal.
Barcelona celebrated a milestone thanks to teenage sensation Ansu Fati on Sunday.
Champions Barcelona showed they will not give up their title without a fight, outclassing Villarreal in a comfortable win.