Karim Benzema scored the only goal as Real Madrid were made to sweat to see off a bold Granada side 1-0 at the Bernabeu.
The Frenchman headed in a cross from Isco nine minutes into the second half to break the deadlock against the dogged Andalusians, who had what looked to be a legitimate goal from Youssef El Arabi ruled out for offside and squandered a number of clear scoring chances.
Cristiano Ronaldo was unable to add to the eight goals he had scored in his last two matches and will have to wait at least until Madrid's trip to Athletic Bilbao on Wednesday to become the club's all-time top scorer.
Diego Simeone's second-half changes proved inspired as substitutes Fernando Torres and Angel Correa both scored in a hard-fought 2-0 win for Atletico Madrid at Eibar.
Argentinian youngster Correa opened the scoring two minutes after coming off the bench by taking advantage of a pass from Torres, and he later returned the favour for the Spaniard, who sealed the points for Atletico with 12 minutes to go.
Valencia's underwhelming start to the Primera Division season continued as they were held to a goalless draw at their Mestalla home by Real Betis, who played most of the second half with 10 men.
Midfielder Dani Ceballos was dismissed after 48 minutes for the visitors, and although Valencia took the initiative for much of what remained of the game, they failed to create many clear chances.
Source: PA
