Since completing horn studies with Anthony Buddle at the Sydney Conservatorium, Graham has participated in music festivals in Germany, France and Japan and undertaken further study in Germany and England. Graham has performed with the Israel Philharmonic Orchestra, Czech National Symphony Orchestra, Sydney Symphony Orchestra, New Zealand Symphony Orchestra, the Brandenburg Orchestra, Orchestra Victoria, and as guest principal with the Queensland Orchestra and the Australian Opera and Ballet Orchestra. Graham played French Horn and Wagner Tuba for the 2004 production of Wagner's Ring Cycle with the Adelaide Symphony Orchestra.