 After helping lead Cuba to the quarterfinals in their only World Cup appearance, he moved to Mexico and played for Real Club España, winning two Liga Mayor (Mexico First Division) championships there, in 1942 and 1945.Tuñas was a member of the Cuba national football team that played at the 1938 FIFA World Cup in France, winning the game to Romania (according to the official FIFA match report ).His nickname Romperredes means "net-breaker", after his powerful shots on goal with him once shooting a hole in a goalnet.