In August 2004, Núñez was transferred to Liverpool, becoming Rafael Benítez's second signing as manager – after compatriot Josemi – as part of an exchange deal that saw Michael Owen go in the opposite direction for £8 million.
[4] Following a disappointing season, Núñez transferred back to Spain and joined newly-promoted side RC Celta de Vigo on 26 July 2005.
[7] In August 2009, Núñez bought out the remainder of his Murcia contract and was released, shortly after joining Cyprus' Apollon Limassol FC.
[8] After the team's relegation in 2013, he remained in the division by agreeing to a four-month contract at Deportivo de La Coruña on 12 September;[9] he was part of the squad that returned to the top tier after one year, but started only seven matches and did not score once.
[10] On 8 July 2014, Núñez signed a one-year deal at Recreativo de Huelva,[11] scoring five times in his first season as the team descended to Segunda División B.