Real Madrid beat Zaragoza 4-0 on Saturday but remain eight points behind record breaking Barcelona who earlier won 3-1 against Celta Vigo to go three points ahead of the pack.
Gonzalo Higuain and Angel Maria struck in a two minute blitz midway through the first half while Michael Essien and Luka Modric added another two late on but despite their recent good form it will be difficult to claw back the Catalan side, who have made their best start to a season.
Barcelona now have nine wins and a draw which beats their previous record by Louis van Gaal's 1997-98 side.
The Catalan club also gained a boost when second-placed Atletico Madrid suffered their first defeat of the season as goals from Roberto Soldado and Nelson Valdez gave Valencia a 2-0 win, leaving Barca three points clear at the top of the La Liga table.
Madrid's defensive problems eased with the return of Alvaro Arbeloa who came in on the left of defence with Marcelo and Fabio Coentrao both still injured. It freed up Michael Essien to move back into midfield where Madrid were without Xabi Alonso and Sami Khedira, suspended and injured respectively.
Inter end Juve unbeaten run
Milan: Juventus's hopes of extending their unbeaten streak to 50 games were ended in emphatic style in a 3-1 defeat to Inter Milan in the 'Derby d'Italia' on Saturday.
In 10 previous games this season, Juve had conceded only five goals as they set out their stall for what looked like a successful defence of their Serie A title.
But despite opening the scoring through Chilean international Arturo Vidal in a dominant first half, the Turin giants were outplayed after the interval with Diego Milito grabbing a brace and Rodrigo Palacio firing home their third in the 89th minute to reduce Inter's arrears to just one point.
Inter coach Andrea Stramaccioni, whose tactics and approach to this game reportedly came under scrutiny by Juve president Beppe Marotta prior to the match, could not hide his joy after the match: "I've heard some ironic remarks about how we go about things," he told Sky Sports.
"I tried to prepare for this game in the best possible way so it's annoying to hear sarcasm from Juve before the match on Inter's tactical approach. At the final whistle perhaps Marotta might think differently. I just want respect."