Atwal (71) closed bogey-bogey while Bhullar (70) had birdies on 16th and 17th, as they finished at three-under 285.
Meanwhile, Gavin Green of Malaysia shed his nearly man tag by winning his first Asian Tour title at the Mercuries Taiwan Masters on Sunday, and dedicated the win to his late grandfather.
After finishing runner-up three times this year, Green closed with a one-under-par 71 to pull off a style two-shot victory at the Taiwan Golf and Country Club.
For seasoned Atwal, the Asia No. 1 in 2003, it was his first Top-10 finish since the win in Dubai at the end of 2014 and it came in the week he was named as captain of Asian Team for EurAsia Cup in January, 2018.
Bhullar last finished in Top-2 when he was Tied-second in Thailand in May this year.
Green finished with a winning total of nine-under-par 279 to defeat his closest challengers Adilson Da Silva (69) of Brazil, Scott Vincent (70) of Zimbabwe, Keith Horne (71) of South Africa and overnight leader Juvic Pagunsan (74) of the Philippines.