Organised by Ameeraga Tamil Sangam, the event had participants from across the UAE
After India posted 153-7, Dwayne Bravo struck 66 not out off 36 balls and Lendl Simmons added 44 for West Indies to reach its target with 156-3 and eight balls to spare in the Super 8s.
Bravo finished the match in style by smacking a full toss from Zaheer Khan over extra cover for a six.
In all, he hit three sixes and four boundaries, adding an unbeaten 56 in 4.1 overs with Shivnarine Chanderpaul, who hit an unbeaten 9-ball 18.
Bravo also claimed 4-38 and Fidel Edwards 3-24 when India batted.
West Indies initially vindicated captain Chris Gayle's decision to field after winning the toss by ripping through the top order.
Rohit Sharma was first to go for 5, caught by Simmons off Edwards in the second over. Raina was blatantly out, but he stood his ground and walked only after the television umpire intervened.
Suresh Raina was next for 5, nicking a catch behind to Denesh Ramdin off Edwards.
Simmons then caught opener Gautan Gambhir after he miscued a Bravo delivery and India ended the powerplay with just 40 from six overs.
Captain Mahendra Singh Dhoni made 11 before he was caught on the boundary by Andre Fletcher off Bravo. India lurched at 66-4 but Yuvraj Singh (67) and Yusuf Pathan (31) launched a fierce counterattack.
Fletcher spilled a hard chance from Pathan, and the latter took advantage in the 15th over, with Pathan and Singh smacking Bravo for 16.
The duo put on 50 from 26 balls.
Singh was caught and bowled by Edwards in the 18th over, but Jerome Taylor missed a return catch from Pathan, who eventually went in the final over, bowled by Bravo. Harbhajan Singh, 13 not out, hit fours from the last three balls to give India a defendable target.
Pathan's brother Irfan struck an early blow during the chase when he had Fletcher caught by Yuvraj for a duck in the second over, and Harbhajan then bowled only the second maiden of the tournament in the sixth over.
When Gayle was caught by Khan off Irfan for 22, the Indian supporters who formed the overwhelming majority of the crowd, celebrated as if the game was already won.
But Simmons and Bravo put on 50 from 35 balls, and with wickets in hand the outcome hung in the balance.
In the 15th over both batsmen found themselves at the same end, only for Dhoni to fumble the ball and miss the chance of a run out, but two balls later Simmons was caught at deep square leg, after getting a top edge to Irfan. Simmons and Bravo shared 58 in 6.5 overs.
The momentum shifted decisively in West Indies' favor when Bravo and Chanderpaul scored 16 runs from the 17th over and 15 off the 18th, including a brilliant reverse sweep for four by Chanderpaul.
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