 He was close to a bronze medal in the 4 × 10 km relay in 1972, but fell near the finish; he had another fourth place in the relay in 1980.Lundbäck won the 50 km and 4 × 10 km events at the 1978 World Championships, the 50 km race at the 1976 Holmenkollen ski festival, and the 90 km Vasaloppet in 1981.After his 1981 win, one of the Vasaloppet hills was named after Lundbäck.