Real Sociedad pulled clear of the La Liga relegation zone with a 2-0 win over Sevilla.
Valencia hit five to beat high-flying Celta Vigo, while Eibar continued their rise up La Liga with victory over Getafe.
Pablo Hernandez struck a late winner as Celta came from behind to win at Real Sociedad and move third in La Liga.
Real Madrid moved three points clear at the top of the Primera Division after clinching a 3-1 win at Celta Vigo.
Take a look at the five best goals from this weekend's La Liga action, including Luis Suarez and Alen Halilovic.
Real Madrid moved three points clear at the top of La Liga after a 3-1 victory away to 10-man Celta Vigo on Saturday.
Barcelona and Real Madrid will start their Copa del Rey campaigns against third-tier clubs.
Brazil striker Neymar will remain at Barcelona "for life", according to the club's technical director Roberto Fernandez.
Celta Vigo were held to a goalless draw by Getafe as Eduardo Berizzo's side missed out on the chance to go top of La Liga.
In his live Q&A, Sky Sports Guillem Balague said there is no interest from Barcelona in Liverpool's Philippe Coutinho.
Villarreal moved to the top of the Primera Division by beating Atletico Madrid 1-0, while Sevilla also won on Saturday.
Iago Aspas scored twice as Celta Vigo thrashed Spanish champions Barcelona 4-1 at Balaidos on Wednesday night.
Luis Enrique paid tribute to Celta Vigo after they ended Barcelona's perfect start to the season in spectacular style.
Former Liverpool striker Iago Aspas struck twice as unbeaten Celta Vigo shattered Barcelona's 100 per cent start with a 4-1 win.
Relive the action as goals from Cristiano Ronaldo, Danilo and Marcelo fired Real Madrid to victory at Celta Vigo.
Javier Mascherano admits the manner of Barcelona's 4-1 defeat by Celta Vigo in La Liga on Wednesday was "worrying".
Villarreal defeated Athletic Bilbao to remain joint-second with Real Madrid and Celta Vigo.
Former Liverpool forward Iago Aspas has had a fine start to the season back at Celta Vigo.
Raul Garcia enjoyed a dream debut as Athletic Bilbao eased to a morale-boosting first win in La Liga this season.
Roberto Soldado was denied a dream debut for Villarreal against Real Betis.