Valencia began the day knowing victory would confirm their place in the UEFA Champions League group stage for next season but were unable to break through a solid Eibar defence as both sides cancelled each other out early doors.
In fact the best chance of the first half fell the way of the visitors when home keeper Neto was forced into a save.
Pedro Leon swung his free kick over the wall and the keeper had to push the ball out as he clattered into the post, Fabian Orellana saw his rebound blocked before the game was stopped for the keeper to receive treatment.
The closest Valencia came was a Rodrigo effort that zipped just past the post with a Dani Parejo shot well kept out by Yoel Rodriguez.
Los Che started the second half better and went close just after the hour mark when Yoel got a hand on Rodrigo’s shot to deny him the opener.
Carlos Soler then went down in the box under a challenge from Jose Angel but the referee waved play on with very little contact on the midfielder.
Eibar also had a penalty claim ignored when Montoya got to the ball before Takashi Inui.
Simone Zaza had the ball in the net with twenty minutes left but it was wrongly disallowed after he was adjudged to have been offside from Parejo’s pass despite replays showing otherwise.
That was pretty much it in terms of chances as Eibar came away with a point after a spirited performance that denied Valencia that Champions League place for at least another week.
Valencia: Neto; Montoya, Vezo, Gabriel, Gaya; Soler (Ferran, 81), Parejo, Kondogbia, Guedes; Mina (Zaza, 64), Rodrigo
Eibar: Yoel; Pena, Oliveira, Lomban, Angel; Garcia (Jordan, 49), Diop (Escalante, 72); Orellana, Leon, Inui (Alejo, 84); Kike