Ready to make the jump to Europe, Córdoba moved to Italian Perugia Calcio, but after only half season he transferred to Turkish Beşiktaş Istanbul. In Turkey he often played against another Colombian goalkeeper of the Super Lig; Faryd Mondragón of Galatasaray. After 4 seasons and after winning the 2002–03 Turkish First Football League and the 2005–2006 Turkey Cup, he transferred to Antalyaspor, club in which he announced his retirement after the 2006/07 season. In spite of the announcement, he returned to Colombia and signed for Deportivo Cali to play the following season.