Vázquez and his band performed his compositions at events such as the Painted Bride's "Latin Vibrations" series in 1990. The
Philadelphia Daily News referred to him at this time as "the hottest trombone player on the big-league Latino dance band circuit." among others. Also in the 1990s his music featured in the films
The Mambo Kings, Spike Lee's ''
Mo' Better Blues, and the remake of The Thomas Crown Affair''. In 1992 Vázquez released his first album,
Breakout, which mixed traditional and Latin jazz as well as
bomba, on the Timeless label. During the 1990s Vázquez performed in
Chico O'Farrill's orchestra at
Jazz at Lincoln Center, while his own band included Chico's son
Arturo O'Farrill on piano. On 4 February 1994 he performed with his group Bomba Jazz at the
Kennedy Center, a venue to which he returned, with the Pirates Troubadours, in July 2015. The track "Baila Plena" from his 1999 album
At The Point V. 1 album was featured on the soundtrack for the film
Free Enterprise. ==Grammy nomination, Oasis Project==