During his time in Boston, he had lessons with renowned jazz educators such as: Jerry Bergonzi, Hal Crook, Ed Tomassi and Jamey Haddad.
In 2001 the Hugo Fernández Quartet was formed, having its first important concert in 2001 in the cycle "Cinco de Jazz" of the "Sala Ollin Yolitzli" with Pablo Prieto (drums), Luri Molina (double bass) and Sergio Galván (alto sax).
Fernandez also collaborated with jazz musicians in Mexico City such as Magos Herrera, Omar Aran, Alex Kautz, Iraida Noriega, Joe D'Etienne, Israel Cupich, Miguel Villicaña, and Gabriel Puentes.
In Spain he collaborated with Cordelia,[2] a Sevillian group led by singer and actress Lola Botello, where jazz, Latin American music, and literature converged.
[8] In September 2018 he recorded Naualli with Julian Sanchez (trumpet), Arie(saxophone), Tomas Merlo (bass guitar), and Marc Miralta (drums).