Together with Pavel Vízner he reached the men's doubles final of the 2001 French Open but lost to Indians Mahesh Bhupathi and Leander Paes (6–7, 3–6).

Pála was coached by his father František, who was a professional tennis player on the ATP tour.

Pála never had the opportunity to do his singles ability justice on the ATP Tour due to injury.

When he recovered from these injuries he returned immediately to the doubles tour, but could not gain entry to official ATP matches.

Pála became the non-playing captain of the Czech Republic Fed Cup team in December 2007.