Bisgaard started his OB career in the summer 1993. He was a part of the OB team that eliminated multiple European Cup winners Real Madrid from the international 1994–95 UEFA Cup tournament. OB had lost the first match 2–3 at home in Odense. In the second game, Bisgaard came on as a substitute for wingback Steen Nedergaard. 15 seconds before the game ended, Bisgaard scored the final goal in OB's 2–0 win, and secured the club advancement in the tournament. OB was then eliminated by Italian club A.C. Parma in the quarter-finals.