[1] Giménez twice made the second round in the singles draw of a Grand Slam, both times in 1981.

At the French Open he defeated Bolivian Mario Martinez, before losing to Paul Torre.

Then at Wimbledon that year he had a win over Jörgen Windahl and was then beaten by Andrew Pattison in five sets.

He won two titles on the Grand Prix tennis circuit, at Vienna in 1980 and then the British Hard Court Championships later that year.

[4] As a coach he has worked with many players, including Gabriela Sabatini,[5] Arantxa Sanchez Vicario, Svetlana Kuznetsova and Daniela Hantuchová.