After winning the Italian Travelling Scholarship in 1957 and spending time in Rome , Daws lived and worked in London, travelling extensively. In 1961 his work was included in the influential exhibition Recent Australian Painting curated by the Whitechapel Gallery, London and was also included in the Paris Biennale des Jeunes, Paris . Since that time Daws has exhibited widely both in Australia and abroad. In 2000 - 2001 Daws work was the subject of a major survey exhibition curated by both the University of Queensland Art Museum and the Brisbane City Gallery. His work is represented in collections both in Australia and abroad.

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