In 1990, Fuller competed in the World Championships and Games for the Disabled in Assen, Netherlands winning a bronze medal in the men's long jump 7F. Fuller also participated in the 1998 World Championships in Birmingham, UK where he won four gold medals. He participated in four consecutive Summer Paralympic Games, from 1992 to 2004. In 1992 he won a gold medal, for which he received a Medal of the Order of Australia, two silver medals, and one bronze medal. At the 1996 Summer Paralympics, he won silver in the 100 and 200 metre races and gold in the 4×100 metre relay. Four years later, at the Sydney Paralympics, he won four gold medals in the 200 metres, 400 metres, 4×100 metre relay, and 4×400 metre relay, and a bronze in the 100 metres. At the 2004 Paralympics in Athens, he won two silver medals in the 400 metres and the 4×400 metre relay, and a bronze in the 4×100 metre relay.