Real Sociedad recovered from losing to Basque rivals Bilbao last weekend to see off Alaves in a 3-0 win on Saturday evening.
Barcelona begin their Copa del Rey defence against Hercules, while Real face a trip to Leon to take on Cultural y Deportiva Leonesa.
Lucas Alcaraz believes he can help Granada climb up the La Liga table after being appointed as the club's coach for a third time.
There were wins for Sevilla, Deportivo La Coruna and Leganes in La Liga on Saturday, while Las Palmas drew with Osasuna.
Paco Jemez has paid the price for Granada's worst start to a season for more than 70 years with his job.
Las Palmas' impressive start to the campaign hit the skids in San Sebastian as they were torn apart 4-1 by Real Sociedad.
Alex Alegria scored twice as Real Betis came from 2-0 down to draw 2-2 with 10-man Granada in La Liga on Friday.
Valencia's wretched start to the campaign continued as they suffered a third straight La Liga defeat at home to Real Betis.
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