Euan was born in Christchurch, New Zealand, in 1956. He attained a Diploma of Fine Arts (Painting) in 1979, and moved to Sydney in 1981. He has had over 50 solo shows in Australia and New Zealand and has taken part in numerous group exhibitions in Australia and internationally.

His work is represented in many private and public collections, including Te Papa Museum, New Zealand, the National Gallery of Australia and the Metropolitan Museum, New York.

He has won a number of prizes including the Archibald Prize in 1999, the 2000 Tattersall’s Landscape Art Prize, the Sulman Prize in 2001, the Blake Prize for Religious Painting in 2006, the inaugural NSW Parliament Plein Air Painting Prize in 2008, and the Gallipoli Prize and Tattersall’s Landscape Art Prize in 2009. Euan lives and works in Sydney.