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As a disappointing season for Madrid winds to a close, the encounter at the Bernabeu was played in front of only 46,294 fans, in a stadium that holds over 80,000.
The draw left third-placed Real an embarrassing 15 points behind runaway leaders Barcelona and six back from second-placed Atletico Madrid after 34 games.
The victory left Real, who had drawn with Leganes in their last outing, in third place on 64 points.
Earlier, Madrid were knocked out of the Champions League at the last-16 stage by Ajax Amsterdam.
Real moved on to 60 points after 31 games thanks to the victory but remain third in the standings.
Real looked on course for a sixth consecutive league win when Casemiro leapt highest to meet a Toni Kroos cross and head them in front midway through the first half.
Madrid join Barcelona, Real Betis and Valencia in the semifinals.
Real Madrid earned a therapeutic 2-0 victory at home to Sevilla with late strikes from Casemiro and Luka Modric as Santiago Solari's stuttering side leapfrogged the Andalusians into third spot in La Liga.
It was unclear if the pilot died or what had caused the crash.
Mario Mandzukic scored the only goal as Juventus killed off Inter Milan's challenge to move 11 points clear in Serie A.