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's early days with Udinese were marked by limited appearances in Serie A, after which he was released from the national team. He then had a more significant role in his second season, playing 20 games and scoring one goal, also being chosen to represent Denmark at the 2000 European Championship, where he played two games but lost both.