[1][2] In 2001, Torres was the recipient of the "Best Player of the 20th Century" award by the FIVB[3] and was inducted into the International Volleyball Hall of Fame.

[3] Torres helped the Cuban team to the gold medal at the 1991 Pan American Games in Havana, at the age of 16.

[4] She won another gold medal with the national team at the 1995 Pan American Games in Mar del Plata.

[4] Torres helped Cuba win gold medals at the 1991 and 1995 FIVB World Cup in Japan.

[7] Torres won additional gold medals with the Cuban team at the 1993 and 2000 FIVB World Grand Prix in Japan.