[1] Llamas was a regular fixture on the Mexico Davis Cup team, appearing in a total of 21 ties during his career.

[2] In the 1962 Davis Cup, Llamas was a member of the team that finished as the runner-up.

[2] At the 1960 Wimbledon Championships he had wins over Barry Phillips-Moore, Warren Woodcock and Roger Becker, before losing in the round of 16 to Roy Emerson.

[3] Llamas was a gold medalist in the men's doubles at the 1955 Pan American Games, with Gustavo Palafox as his partner.

[5] his other career singles highlights include winning the Pan American Championships on clay courts at Centro Deportivo Chapultepec, Mexico City three times (1958–59, 1963).