Born in Baja, Disztl's main club was Videoton FC, and he was one of the side's top performers as it made it to the 1984–85 UEFA Cup final, in an eventual 1–3 aggregate loss against Real Madrid; after a 0–3 home loss, he saved a penalty from Jorge Valdano in the opening minutes of the second leg at the Santiago Bernabéu, being crucial to secure the consolation win.