Sevilla beat Villarreal to be joint league leaders with Barcelona, whereas Atletico Madrid won against Getafe to consolidate fifth spot.
Sevilla joined Barcelona at the top of La Liga, when they snatched a 2-1 comeback victory at home to Villarreal, while champions Atletico Madrid beat Getafe in a bad tempered clash on Sunday.
Villarreal thought they had secured the points at the Sanchez Pizjuan, when Luciano Vietto clipped the ball superbly over home goalkeeper Beto in the 79th minute.
The home side stormed back to equalise through Denis Suarez in the 88th minute and Carlos Bacca sealed the win with a penalty in added time.
Sevilla won the Europa League in 2013 and have made their best ever start to a La Liga campaign, although it remains to be seen whether they can sustain their form long enough to mount a genuine title challenge.
In 2013-14, Atletico were the first team apart from Real Madrid or Barcelona to win the league, since Valencia did it way back in 2004.
"We didn't play our best football but the team put in the maximum effort," Bacca told reporters. "They scored a goal, a good goal, but we never gave up," added the Colombian.
"Sevilla were very good even if perhaps we lacked a bit of efficiency with the final pass. We are second (on goal difference) but with our feet on the ground," concluded Bacca.
With nine matches played, Barcelona, beaten 3-1 in Saturday's 'Clasico', and Sevilla, have 22 points each, whereas Real lie in third on 21.
Atletico are in fifth with 20 points, after a close-range effort from striker Mario Mandzukic, five minutes before halftime, secured victory at Getafe.
The visitors lost defender Alexis to a straight red card, after a clash with Mandzukic in the 58th minute, one of several unsavoury incidents during the game.
Valencia are in fourth with 20 points, above Atletico on goal difference, after they celebrated their imminent takeover by Singapore billionaire Peter Lim, with a 3-1 win at home to Elche on Saturday.
In Sunday's other games, Malaga thrashed visiting Rayo Vallecano 4-0 and Espanyol were held to a 0-0 draw at home to promoted Deportivo La Coruna.
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