Ashwin's lone victim was Tom Lammonby (42), who was bowled by the veteran India spinner.
Wes Durston starred in a 77-run stand with James Hildreth to guide Somerset to 132 for eight against Diamond Eagles in the League A opener of the Champions League Twenty20 in Hyderabad on Friday.
Ashwin picked up a five-wicket-haul in just 13 overs representing Surrey against Somerset
Captain Graeme Smith led Somerset to victory over Lancashire by seven wickets to win the Twenty20 Cup