Sergio Ramos (62 minutes) and Karim Benzema (85 minutes) pulled goals back for the hosts, but Zaragoza held on to move four points clear of the relegation zone.
In Saturday’s other match, in-form Argentine striker Sergio “Kun” Aguero scored his ninth league goal in his last seven outings as Atletico Madrid won 1-0 at 10-man Deportivo La Coruna to move up to fifth.
Deportivo were reduced to 10 men when defender Alberto Lopo was sent off on the hour mark and Aguero struck an 80th-minute winner as Atletico moved a point above Athletic Bilbao into fifth.
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