After finishing fourth in the 1991 London Marathon men's wheelchair race, Wesley won the 1992 race and set a new course record. He competed in the 1992 Summer Paralympics events in Barcelona and again at the 1994 Winter Paralympics in Lilehammer and at the 1998 Winter Paralympics in Nagano. At the 2002 Winter Paralympics in Salt Lake City, Utah he won gold and silver medals. In 2003 he received a 3rd place overall ranking in the World Cup. As of 2012, Wesley had won 12 Paralympic medals, four of them gold, while competing in wheelchair sports such as racing and skiing at "five Paralympic Games."