Pimek started playing tennis at the age of six. In 1982 he became a professional tennis player and the following year he won his first double title on the ATP World Tour . In the course of his career he won a total of 17 ATP doubles titles, he was also at the side of Byron Talbot in the 1996 Rome Masters final , but lost to Byron Black and Grant Connell in two sets. In individual he was less successful, his only title win on the ATP tour he celebrated in 1984 in Munich . He also was the 1989 individual title of the ATP Challenger tournament of Knokke win. He reached his highest ranking in the tennis world rankings in 1985 with position 21 in singles and 1996 with position 15 in doubles.
His best individual result in a Grand Slam tournament was reaching the third round at the 1987 US Open , where he lost to Mats Wilander . In the doubles competition he reached the quarter-finals of the French Open in 1996 on the side of Byron Talbot . In mixed he was twice in the quarterfinals of the French Open, in 1991 with Larisa Neiland and in 1996 with Katrina Adams .
Pimek played between 1983 and 1985 four singles and two doubles games for the Czechoslovak Davis Cup team , of which he won two singles and one double. In 1989, Pimek, who is married to a Belgian, became a Belgian citizen. In 1991 he joined the Belgian Davis Cup team. By 1998 he played seven doubles games, of which he won two.