Bhullar, who was lying 57th after the first day with a round of 72, was two-under through 14 holes while playing with the tournament host, KJ Choi.
Bhullar is now one-under with four more holes to play in the second round and is provisionally 33rd.
Choi of Korea proved that he is still a force to reckon with as he blitzed through the course to go atop the leaderboard with Chinnarat Phadungsil at 10-under-par through 14 holes when play was stopped.
Thailand's Chinnarat lived up to his promise as the next generation of young stars to emerge from the Asian Tour when he posted a seven-under-par 64 to take the clubhouse lead.
Korea's Lee Sung battled his way back into contention with a 68 to take a share of third place alongside Canada's Ryan Yip, who posted a 71 after heavy fog had caused two hours of play to be lost at the Haesley Nine Bridges Golf Club in the morning.
Chinnarat, who has been billed as one of the stars to look out for this week, did not disappoint as he went on a birdie blitz to put himself in prime position to end his three-year title drought with his two-day total of 10-under-par 132.
Playing in the lead group, Ben Curtis was also six-under after 14 holes in second round.