Born in Barcelona (Catalonia) in 1976, Parra studied in the Conservatoire of Barcelona, where he was awarded Prizes with Distinction in Composition, Piano and Harmony. He has studied composition with David Padros, Brian Ferneyhough and Jonathan Harvey, as well as with Michael Jarrell at the Haute École de Musique in Geneva.
The Ensemble Intercontemporain, the Arditti Quartet, ensemble recherche, musikfabrik, the Philarmonic Orchestra of Liège, Holland Symfonia, National Orchestra of Ile-de-France, KNM Berlin, Ensemble Alternance, Algoritmo Ensemble, Proxima Centauri and ensemble mosaik have performed his work. He has received commissions from the French State, from the IRCAM-Centre Pompidou on four occasions, from the Spanish Ministry of culture, from the Government of Catalonia and from institutions such as Berlin Academy of Arts, Ensemble Intercontemporain, Klangforum Wien/Impuls, Strasbourg Festival, CDMC (Madrid), National Orchestra of Ile-de-France, IVM (Valencia), Musica de Hoy (X. Güell), Schauspielhaus Salzburg, Caja Madrid and the Selmer Society (Paris). His music has been also played at the international festivals of Lucerne, Avignon, Agora-Ircam, Royaumont, Centre Acanthes, Forum Neues musiktheater of the Stuttgart Opera House, Novart de Bordeaux, ADK Berlin, Quincena Musical de San Sebastián, Nous Sons Barcelona, Muziekgebouw (Amsterdam), Philharmonie Luxembourg and others.
In 2007 he was awarded the Earplay Donald Aird Memorial International Composition Prize of San Francisco (USA). In 2005 he was unanimously awarded the Tremplin Prize given by the Ensemble Intercontemporain and was finalist in the International Gaudeamus Competition. In 2002 he won the INAEM Prize for Musical Composition (The National Institute for Performing Arts and Music of Spain). Tritó (Barcelona) publishes his music. Currently, he is Professor of Electro-Acoustic Composition at the Conservatoire of Zaragoza, invited professor at the Conservatoire of the Barcelona Opera House (El Liceu) and composer in research at IRCAM in Paris.