 He was a post-graduate teacher of surgical trainees at Concord and Auburn Hospital.On its establishment in 1994, Moulton was appointed chairman of the NSW Institute of Sports Medicine, a specialist public health facility providing assessment and treatment of sports injuries and a range of sports medicine related services.From 1986 until 1992, Moulton was the medical advisor of the Australian Rugby Union and team doctor of the Wallabies – a period encompassing the 1986 Bledisloe Cup win in New Zealand, the inaugural Rugby World Cup in 1987 and Australia's maiden Rugby World Cup win in 1991.