Kumble conceded 100 runs in his 28 overs on a day dominated by Australian Test opener Justin Langer who struck an unbeaten 234 to put Somerset in a commanding position.
The visitors won the toss and elected to bat first in the match.
Langer opened with Neil Edwards and the duo put on 227 runs for the first wicket. Edwards departed after contributing 77 runs in 144 balls and Langer was joined by Arul Suppaih (71).
Langer spared none of the Surrey bowlers, who were struggling for their line and length on a hot day, and added another 162 runs for the second wicket with Suppaih.
Their partnership was broken by Kumble, who got Suppaih caught by Azhar Mahmood after toiling hard on a tough day for the bowlers.
Langer faced 279 balls for his 234 and hit 31 fours and two sixes.
Meanwhile, in a NatWest Pro40 Division Two match, Zaheer Khan bowled an excellent spell claiming three wickets for 27 in his eight overs and contributed 23 vital runs in 16 balls with the bat but could not prevent Wocestershire from losing against Gloucestershire at New Road.
The home side fell short by 12 runs despite making a good start to their chase after Gloucestershire won the toss and decided to bat, putting up 245 in their 40 overs.
Chris Taylor top scored with 93 and later spinner Martyn Ball took four for 47 to seal the win for Gloucestershire.
Lou Vincent and Stephen Moore gave a good start to the Worcestershire chase but their innings crumbled after the openers went following an 81-run stand.
The lower-order, however, stuck their neck out with Zaheer and Roger Sillence contributing 23 runs each. But their effort could not compensate for the middle-order collapse and Worcestershire were left 12 runs short of the target.