Lövgren was World Champion in 1999 with the national team and is one of the few players to have participated in all the gold medal-winning Swedish sides in the European Championships (1994, 1998, 2000, 2002). As an individual player, he was named Most Valuable Player in both the 1999 and 2001 World Championships, was top scorer in the Olympic Games in 2000 and provided the most assists during the 2005 World Men's Handball Championship in what proved to be his final major tournament. He is a former member of the IHF Athletes Commission, and is one of the most respected players in team handball (with, among others, Nikola Karabatić citing him as a role model both as a person, player and captain).