At 18, Lundström played his last season for Kiruna AIF before moving to Brynäs. That same year, he made his national team debut in November 1963. In his national team career, Lundström played in 200 games, including nine IIHF World Championships and the Olympic Games. He competed as a member of the Sweden men's national ice hockey team at the 1968 and 1972 Winter Olympics. Lundström then moved to North America where he joined the Detroit Red Wings of the National Hockey League (NHL) for the 1973–94 season. During that season, he became the second Swedish forward to score an NHL goal. After injuring his shoulder, Lundström broke his contract and left the NHL to join the London Lions in England for the rest of the season. He subsequently returned to Brynäs IF for the 1974–1975 season.