First international success Reynaldo Vera González-Quevedo have in 1977 in Innsbruck, where he ranked 4th in World Junior Chess Championship.

[1] He is multiple participant of Cuban Chess Championship and two-time winner of these tournaments (1997, 2001).

[2] Reynaldo Vera González-Quevedo has achieved many successes on the international chess tournaments, including winning or shared the first places in Havana (1980), Varna (1986), León (1996), San Sebastián (2007).

Reynaldo Vera González-Quevedo played for Cuba in the Chess Olympiads:[3] Reynaldo Vera González-Quevedo played for Cuba in the World Team Chess Championships:[4] Reynaldo Vera González-Quevedo played for Cuba in four Pan American Team Chess Championships:[5] Reynaldo Vera González-Quevedo played for Cuba in the World Youth U26 Team Chess Championships:[6] In 1979, he was awarded the FIDE International Master (IM) title and in 1988 he received the FIDE Grandmaster (GM) title.

Reynaldo Vera González-Quevedo also is FIDE Senior Trainer (2007).