After studying the classical piano, the guitar and harmony, Abraham was seduced by jazz and the trombone, on which he is self-taught. His stylistic evolution is parallel to the history of jazz, and although he is a modern soloist today, he has worked with a wide variety of musicians which include: Michel Petrucciani, Charles Aznavour, Claude Nougaro, Clark Terry, Hal Singer, Toots Thielemans, Klaus Ignatzek, John Surman, Art Farmer, Michel Herr, Paolo Fresu, John Engels, Dusko Goykovich, Benny Bailey, Bart Van Lier, Henri Texier, Klaus Weiss, Deborah Brown, Maria Schneider, John Lewis, Lou Bennett, Claudio Roditi, William Sheller, Didier Lockwood, Dee Dee Bridgewater, Michel Legrand, Lucky Peterson and Mino Cinelu.
In addition to his recorded work with other artists and his own groups, Phil has often appeared in big bands as a soloist. He took part in many recordings and concerts of the big band of the Belgian Radio (BRT). He also devotes his career to teaching, training courses and master-classes and was a teacher of vocal improvisation in Antwerp and Brussels. He is now a jazz and trombone teacher at the Brussels Royal Conservatory and at the National Conservatory in Douai (France).
Abraham is the leader of the groups Jazz Me Do, the Phil Abraham Quartet and Phil Abraham Trio. In addition, he is a member of Gangsters D'Amour and performs as a sideman in the group Michel Herr & Life Lines.