The first actual day of the new La Liga season after the strike by players and Málaga CF travelled to Sevilla, only to return empty handed after losing 2-1.
Negredo put Sevilla ahead after just two minutes and then added another before Cazorla, one of several new signings for the Blue and Whites, scored a late consolation goal.
Meanwhile, Real Madrid were rampant against Zaragoza, Ronaldo helping himself to a hat-trick and Marcelo, Xabi Alonso and Kaká each grabbing one apiece to make the final score 0-6.
Barcelona play Villarreal on Monday.