Starting in the second group from the 10th tee, Bhullar looked set to go to seven-under but the putt on the ninth, his last hole, dodged the cup.
Shiv Kapur, who started from the tenth, had birdies at the 11th hole, first and fourth holes.
Bhullar will be joined by the likes of Randhawa, whose last Asian Tour title came in Thailand in 2009, and Jeev Milkha Singh, who is easily the most traveled Indian golfers apart from being the most successful.
The three-time Asian Tour number one finished ninth on the final Race to Dubai rankings in the recently concluded European season, but the Thai home hero is keen to win for the first time this year in front of his fans at Amata Spring Country Club.
Rory's McIlroy's year began with a coronation. It ended with a bogey on the ninth hole at Sherwood with hardly anyone watching.
Johnson, the 2007 Masters champion, denied the world number one a sixth victory in the unofficial tournament he hosts for the benefit of his charitable foundation.
The 49-year-old Spaniard birdied the first extra hole at the Hong Kong Golf Club to defeat Thailand's Prom Meesawat and Stuart Manley of Wales and collect a winner's cheque of $216,660.
Shiv Kapur, lying tied second at nine-under after three rounds, finished at six-under 274 and picked up USD 19,695 as his winnings.
Tiger Woods notched the last of his four birdies at the par-four 18th, balancing four bogeys as he built a 54-hole total of 11-under par 205 and maintained his two-stroke cushion over 2007 Masters champion Zach Johnson.
Other Indians in the fray Anirban Lahiri and Jyoti Randhawa are tied for 15th spot. Himmat Rai and SSP Chowrasia are tied 29th while Sujjan Singh lags behind at 66th. Jeev Milkha Singh and Gaganjeet Bhullar failed to make cut on Friday.
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