Billy Godleman hit his second successive half-century, but India claimed victory on the final day at The 3aaa County Ground to become the first winners of the Royal Crown Derby Trophy.
Godleman top scored with an unbeaten 56 and Alex Hughes hit a brisk 36, as Derbyshire declared on 156-3 to set the touring India side 142 to win off 45 overs.
Despite the loss of an early wicket, 41 from Murali Vijay and 39 from Ajinkya Rahane guided India to victory with eight overs remaining to end an entertaining three days of cricket.
After an early loss, Paul Borrington and Chesney Hughes replied with a 32-run stand to wipe out the 15-run first innings deficit as Derbyshire went about setting the tourists a total to chase during the morning session.
Chesney Hughes fell shortly before Lunch, however, caught behind by MS Dhoni off Stuart Binny, for 20 (4 fours). Borrington was still there, hitting 29 off 102 balls (1 four), as he added 46 with Godleman, with Derbyshire 78-3.
After Borrington was dismissed, Godleman took over the mantle hitting seven fours to hit his second half-century of the match, finishing the innings unbeaten on 56 (86 balls).
There was a late cameo from Alex Hughes who hit five fours in his run a ball 36, as Derbyshire declared on 156-3 after 45 overs, setting India 142 to win.
Opening the bowling, Matt Higginbottom (1-40 off 9 overs) claimed an early wicket in reply, Shikhar Dhawan lbw for nine, with India 13-1. But Murali Vijay and Ajinkya Rahane put on 63 runs for the second wicket, before Vijay was the first retirement of the innings on 41 off 53 balls (8 fours).
Rahane retired shortly after for 39 (65 balls, 6 fours) with victory in sight on 98-3. Rohit Sharma was the new batsman, but he, however, lasted only 19 balls as he was caught at slip by Wes Durston off David Wainwright (1-21 off 6 overs) for 10.
Wriddhiman Saha fell for 19 to Greg Cork (1-27 off 7.3 overs) just before the close, but it was too little too late, as Gautam Gambhir (21 not out) saw his side over the line with eight overs remaining in the day.
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