They considered names like "Pupitre Azul" (Blue Desk) or "La Hija del Caos" (The Daughter of Chaos), and eventually chose El Sueño de Morfeo.

The production company Globomedia asked them to cover the theme song of the series, "1+1 son 7", together with Fran Perea in an episode that would air on 30 July 2004.

That same year they took part in a tribute album to Duncan Dhu, where they covered "Una calle de París".

Its first single, "Si no estás" was released in April 2009 and the album, Cosas que nos hacen sentir bien, in May 2009.

In early 2011, they collaborated with La Musicalité in a new song, "Cuatro elementos", which was number 9 on the Spanish Singles Chart.

[5] In February 2011, Raquel competed together with Luca Barbarossa in the 2011 Sanremo Music Festival, where they finished in 8th place with his composition "Fino in fondo".

Their 4th album as El Sueño de Morfeo, titled Buscamos sonrisas was recorded in Los Angeles, produced by Thom Russo.

On 17 December 2012, it was revealed that the band had been internally chosen by national broadcaster RTVE to represent Spain in the Eurovision Song Contest 2013 to be held in Malmö, Sweden, where they competed as ESDM, their acronym.

This album mostly consists of collaborations with famous artists such as Pastora Soler, Álex Ubago, Laura Pausini, La Musicalité and Giorgina covering El Sueño de Morfeo's most popular songs.