Levante, Rayo Vallecano and Villarreal claimed victories in La Liga on Sunday, but Cordoba's wait for a win goes on.
Terry Gibson and Jon Driscoll on record-breaking Lionel Messi and David Moyes' first La Liga game.
Winless Cordoba blew a two-goal lead in Sunday's 2-2 draw at Elche.
Getafe and Elche were unable to build on victories in their last outings and had to share the points after a goalless affair.
Valencia won 3-1 at Villarreal to move to within a point of Real Madrid in La Liga, while Athletic Bilbao beat Sevilla.
Elche moved off the foot of the Primera Division table by claiming their first win in seven matches 2-1 against Espanyol
Valencia moved up to third in the Primera Division after getting back to winning ways with a 3-1 victory over Elche.
Valencia closed to within two points of the La Liga summit with a 3-0 win over Elche on Saturday, while Athletic Bilbao overcame Almeria 1-0.
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