Dávid grew up with the Budapesti Honvéd juniors squad and made his debut with Budapest Honvéd during the 1987–88 season. He was signed for the 1988–89 by Malév SC and played there also the 1989–90 season. In the 1990–91 season, he went back to Budapesti Honvéd and played there until the 1993–94 championship. In 1994, Albacomp (Székesfehérvár) recruited Dávid and was his team up to the 1996–97 championship season.
