In 1993 she won ITF singles titles in Bilbao and Vigo, both $25,000 tournaments, with her ranking climbing over 100 places by the end of the year.
She competed in the main draw of several WTA Tour events in 1994, including a quarter-final appearance at the Internazionali Femminili di Palermo.
[1] In 1995 her ranking peaked at 105 in the world, earning her direct entry into both the French Open and Wimbledon.
A member of Spain's Fed Cup winning campaign in 1995, Ávila featured in the quarter-final tie against Bulgaria.
She partnered Virginia Ruano Pascual in a dead rubber doubles tie, which they lost to the Maleeva sisters, Katerina and Magdalena.