Impressed with her mobility, Ludmila convinced Jana's parents to take her to train at a tennis centre where she worked.

[1] Plchová's best performance on the WTA Tour was a runner-up finish at the 1982 edition of the Austrian Open, losing the final to Virginia Ruzici.

[2] At the 1983 French Open, she made her Grand Slam main-draw debut with appearances in both the singles and doubles draws.

Plchová featured in the main draw of the singles at the 1985 Wimbledon Championships as a lucky loser, with Rafaella Reggi withdrawing due to illness.

She had a first-round win over the previous year's Wimbledon quarterfinalist, Carina Karlsson, before being beaten in the second round by Hu Na, whom she also lost to in the qualifying event.