At the 2004 Summer Olympics in Athens, Suneson qualified for his second Swedish team in the Laser class by placing eleventh and obtaining a berth from the 2003 ISAF World Championships in Cadiz, Spain. Unlike his previous Olympics, Suneson had a solid feat to climb extensively in sixth place with a remarkable grade of 104 net points in the series, but faded his chance of an Olympic medal after his mediocre effort on the final race.