Somerset resumed with James Hildreth 191 not out and he went on to make 303 from 338 balls including 35 fours and four sixes before his county declared on 672-4. Wicketkeeper Kieswetter also hit an unbeaten 150.
With 35 overs remaining, Warwicks lost Darren Maddy for 36 before closing on 108-1 to draw the game and take ten points with Somerset taking twelve points from the match.
Tomorrow, Warwickshire take on Somerset in a Friends Provident Trophy game at Edgbaston. Play is due to start at 12noon and commentary can be heard via the BBC Coventry & Warwickshire website and Egbaston.com.