Forward Romeo Surdu scored the first goal 46 minutes into the game, while Bogdan Stancu got past Balajcza’s defense in the 71st minute.
The second-leg meeting will take place in Hungary on July 23.
FC Steaua Bucharest: Tatarusanu, Ninu, Goian, Ghionea, Marin Szekely, Onicaa, Toja (A. Ionescu ’83), Ochiroaii (B. Stancu ’46), Surdu (Grzelak ’88), Kapetanos. Coach: Cristiano Bergodi.
Ujpest FC: Balajcza, Vermes, Vasko, Lambulics, Dudics Korcsmar Sandor, Stokes, Kabat, Pollak, Rajczi (Tisza ’81). Coach: Willie McStay.