In 1982, he moved abroad to play for newly promoted club SC Pisa in the Italian Serie A. Berggreen helped the club stay in Serie A, and was recalled to the Danish national team in October 1982. In the 1983–84 Serie A season, Pisa were relegated to Serie B, but Berggreen chose to stay with the club. He was selected to compete for the Danish national team at the 1984 European Championship, where he played four matches, and scored a goal in the 5–0 victory against Yugoslavia. In the semi-final against Spain, Berggreen was sent off in injury time, and Denmark were later eliminated following penalty shootout.