Näslund made his senior international debut later that year at the 1993 World Championships in Munich and Dortmund, Germany, where he earned another silver medal with Sweden. He contributed a goal and an assist over eight games. Three years later, he was added to Sweden's roster for the 1996 World Championships in Vienna, Austria, after the Canucks were eliminated in the NHL playoffs. He was pointless while competing in one game, as Sweden failed to medal. Several months later, Näslund competed in the inaugural 1996 World Cup, but was again limited to one game. Sweden reached the semifinal, where they were eliminated by Canada. Competing in his third World Championships in 1999, Näslund helped Sweden to a bronze medal with a 10-point effort in 10 games.