He won the bronze medal in the steeplechase at the 2010 European Athletics Championships, but was later stripped of the medal due to his giving a positive doping test for EPO at the Spanish Championships in July.
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Palomeque represented Spain at the 2008 Summer Olympics in Beijing, where he competed for the men's 3000 m steeplechase, along with his compatriots Eliseo Martín and José Luis Blanco.