Career
Playing career
Babolcsay played club football for hometown side Budapest Honvéd Football Club also known as Kispesti Air Corps. He also represented the Hungarian national side, and earned a total of 4caps for the team between 1950 and 1953. Coaching career
Babolcsay managed Budapest Honvéd Football Club, Békéscsaba 1912 Előre Southeast and Greek side PAOK.