The professional career of Àlex Garrobe developes regularly in more than thirty countries in Europe, Asia, Africa, South America and the USA. Among the prestigious international halls in which he uses to play are the Concertgebouw in Amsterdam, Radio France Auditorium in Paris, Auditorio Nacional (Madrid), Palau de la Música Catalana (Barcelona), Lutowslasky Auditorium (Warsaw) or the XXI Century Auditorium (Beijing).

Born in Barcelona into a family of musical tradition, Àlex Garrobé graduated with First Class Honours from Alicante Conservatory in 1988. In 1990 he was awarded the Alexander von Humboldt Foundation Scholarship to broaden his studies at the Musikhochschule in Cologne with Hubert Käppel. Some of the most important influences for him were his teachers José Tomás, William Watters, Carles Trepat and Josep Pons.

He was the winner of the 1988 National Spanish JJMM Competition and the 1989 Infanta Cristina International Guitar Competition being also prize-winner at the Andrés Segovia International Competitions of Almuñecar (1989) and Palma de Mallorca (1987).

Among his many collaborations as a soloist with orchestra are the performance of Concierto de Aranjuez at the Auditorio Nacional (Madrid) in the Concert organised in homage to Joaquin Rodrigo in 1993, and the world premier of the Mare Nostrum Concerto performed at the Lublin Guitar Festival. Many composers have dedicated pieces and commissioned premieres to him (S. Brotons, M. Smaili, S. Iannarelli, M. García Morante, G. Drozd, S. Eide…).

Àlex Garrobé has been professor at Centro Superior de Música del País Vasco (MUSIKENE), Escola de Música de Barcelona-Universitat Autónoma, Escola D’Arts Musicals Luthier, Sabadell Conservatory and the Catalan Music College (ESMUC) where he currently teaches. He presents master classes in Spain, Portugal, Germany, Italy, Poland, Slovenia, Norway (National Conservatory), Sweden (Stockholm Royal Conservatory), Denmark, Finland (Sibelius Academy), China (National Conservatory), Japan, Holland, United States, Chile, Colombia (Eafit), Sao Paulo,  Bolivia (National Conservatory) and United Kingdom (London Guildhall School).

He has released four CDs on the labels Harmonia Mundi, Opera Tres and Columna Musica. After listening to his CD dedicated to British composers, Sir Malcolm Arnold expressed the opinion that it was: "A masterly interpretation", to which he added, "It is gratifying to hear one's music played so superbly".