Forsberg competed with Sweden's under-18 team at the 1991 European Junior Championships. He led the tournament in scoring with 17 points over six games as Sweden failed to defend their gold medal from the previous year. Moving on to Sweden's national under-20 team, he played in his first of two World Junior Championships in 1992. He scored 11 points in seven games as Sweden won the silver medal. Several months later, Forsberg debuted with the Swedish men's team at the 1992 World Championships. He recorded a goal and an assist over eight games, helping Sweden to a gold medal.