Bisgaard got his national breakthrough in the 1996–97 Superliga season, when he played all 33 league games and scored 16 goals for OB. He was called up to the first Danish national team match of new national manager Bo Johansson, and Bisgaard made his international debut in the August 1996 game against Sweden. He played an additional national team game in April 1997, before he was sold to Italian club Udinese in the summer 1998. In his first year at Udinese, Bisgaard only played three games in the Italian Serie A championship, and was dropped from the national team. He played 20 games and scored one goal in his second season at Udinese, and was included in the Danish squad for the 2000 European Championship. He played two games at the tournament, both Denmark losses. Bisgaard played a further three national team games, before his national team career ended in October 2000.