Valencia marked coach Miroslav Djukic's first game in charge with a 1-0 victory over visiting Malaga on Saturday as La Liga began.
After a dull 63 minutes at Mestalla Stadium, Ricardo Costa took what proved to be the winner for Valencia when Malaga goalkeeper Willy Caballero fumbled his attempt to catch a looping high ball, with the ball falling for the defender to stab in.
While Djukic enjoyed his first win, Malaga's Bernd Schuster saw his new team struggle to produce scoring opportunities.
The former Barcelona and West Germany midfielder took over Malaga from Manuel Pellegrini this off-season and has received a squad depleted of its main players following the exit of Isco and Jeremy Toulalan, among others.
Carlos Vela scored one goal and set up another Saturday as Real Sociedad picked up where they left off last season by outclassing Getafe 2-0.
The Mexico forward netted the first goal of the 2013-14 season from a pass by Chori Castro in the 42nd, and then assisted Haris Seferovic for the new signing to get a deserved goal in the 70th.
Castro helped Sociedad convert their dominant possession into the opener when he used one touch to play Vela clear of the defense. Vela did the rest by coolly chipping the ball over the onrushing Moya to record the first goal of the season.
Moments after Diego Castro had Getafe's best scoring opportunity, Vela picked out Seferovic's run and slipped the ball through for the Swiss to dink it over Moya from a tight angle and secure the three points.
Later, Ernesto Valverde began his second stint as the coach of Athletic Bilbao with a 2-1 win at Valladolid thanks to goals from forwards Markel Susaeta and Iker Muniain.
Susaeta finished off a brilliant combination of one-touch passes from a corner kick to put Bilbao ahead in the 28th. Bilbao worked the ball away from Valladolid's area before new arrival Benat Etxebarria used a no-look pass to serve Susaeta inside the box for the forward to fire home.
But Patrick Ebert drilled in Valladolid's equalizer three minutes later when Oscar Gonzalez spotted him arriving late to the area unmarked by the visiting defense.
Muniain was quick to pounce and knock in a ball sent off the post by Valladolid defender Marc Valiente to restore Bilbao's lead for good five minutes after halftime. Ander Herrera nearly extended the advantage when he hit the goalframe in the 75th.