On his first visit on the PGA Tour of Australasia, at the time named the PGA Tour of Australia, Torrance finished second to George Serhan at the 1980 New South Wales Open in beginning of November and the week after he won the Australian PGA Championship at Royal Melbourne Golf Club, beating Seve Ballesteros by two strokes. The year after, Torrance came back to Australia, capping a second place finish in October, after losing in a playoff to Eamonn Darcy at the 1981 CBA West Lakes Classic.