 In the 1950s and 1960s, Gaslini performed with his own quartet.He was the first Italian musician mentioned as a "new talent" in the "Down Beat" poll and the first Italian officially invited to a jazz festival in the USA (New Orleans 1976-77).He collaborated with leading American soloists, such as Anthony Braxton, Steve Lacy, Don Cherry, Roswell Rudd, Max Roach, but also with the Argentinian Gato Barbieri and Frenchman Jean-Luc Ponty.