Real Betis continued their perfect start under new coach Manuel Pellegrini as they beat Real Valladolid 2-0 at home on Sunday for a second win in a row.
Nabil Fekir put Betis ahead in the 10th minute while Portuguese midfielder William Carvalho promptly extended their lead in the 18th with a volley from outside the area.
The hosts comfortably saw out the victory to add to last week's last-gasp win at Alaves.
Elsewhere, Granada notched a third consecutive win in all competitions by beating Alaves 2-1 at home thanks to a late winner from Darwin Machis after Alaves striker Joselu had cancelled out an early opener from veteran Roberto Soldado.
Granada had gone into the game in a confident mood after thrashing Albanian side Teuta 4-0 in a Europa League qualifier, which followed their 2-0 opening-day win over Athletic Bilbao.
Earlier, Cadiz earned their first win in the top flight for 14 years by beating Huesca 2-0 away with goals in either half from Alvaro Negredo and Jorge Pombo.