Valencia earned their first victory at the fourth time of asking after easing past newly-promoted Celta Vigo 2-1 at the Mestalla.
Sofiane Feghouli gave Valencia an early lead and although Celta equalized soon after through Michael Krohn-Delhi, the hosts claimed the points thanks to Aly Cissokho's 50th-minute winner.
Malaga maintained their unbeaten start to the season with a comfortable 3-1 win over Levante thanks to goals from Javier Saviola, Joaquin and Francisco Portillo.
Saviola deservedly put the hosts in front after 26 minutes with a simple finish from Isco's fine through ball, but Levante were level a minute after half-time when Michel thundered in from outside the area.
However, Malaga's lead was restored 12 minutes later when Saviola's cute pass found Joaquin free inside the area and his calm finish gave Gustavo Munua no chance.
And, despite losing Sergio Sanchez to a second yellow card three minutes from time, Portillo sealed all three points with a controlled volley in the last action of the match.