After six seasons with Racing, Fabbri spent the 1992 season with Colombian América de Cali, and the 1993 season back to Argentina for Club Atlético Lanús, before moving to Boca Juniors in 1994. Fabbri played with Boca until 1998, when he was transferred to French first divisionFC Nantes. With Nantes Fabbri won the 1999 and 2000 French Cups, the 1999 and 2001 Champion's Trophies, and the 2001 French Championship.
In 2002, Fabbri moved to En Avant de Guingamp, at that time in the French first division. He played one season for Guingamp with teammates like Didier Drogba or Florent Malouda and the team finished in seventh place. He returned to Argentina, first to play for Estudiantes in 2003, and then in 2004 to his first team All Boys, where he retired.