Palop joined Sevilla FC in summer 2005, quickly becoming one of the Andalusians' cornerstones as they added five titles in only one year. On 15 March 2007, he made headlines when he scored an injury time-equalising goal in the UEFA Cup round-of-16 tie against FC Shakhtar Donetsk, forcing extra time as a result – his team, which had drawn 2–2 at home in the first leg, went on to win 3–2, and eventually the competition for the second consecutive time; in the final against fellow league team RCD Espanyol he stopped three of four penalty kicks in the shootout, being named "Player of the match".