 Following Džomba's success in the national team and his superb performances for Veszprém, on 27 November 2003 Džomba announced that he would be moving to BM Ciudad Real at the end of the 2003-04 season.Veszprém would eventually lose to Ciudad Real in the Champions League quarter-finals.Džomba scored 37 goals in the Champions League that season and won the Hungarian league and cup.