In 1946, Vrba reached the quarter finals of the French championships, losing to Yvon Petra.

[1] In December 1946, Vrba reached the final of the Flandres tournament, losing to Jacques Peten.

[2] In October 1949, Vrba was suspended by his national association for eight months for misconduct at the Slovak championships.

[3] He became a coach in Slovakia and then in the late 1960s, Vrba moved to Austria and died in Vienna in 1991.

In 2007, Vrba was included in memoriam to the Hall of Fame of the Slovak Tennis Association.