Bhullar is one-under 141 and in tied 19th position, down from his overnight 12th place. (Agencies)
Bhullar, starting from the first, birdied the second but a double bogey on sixth was followed by a bogey on seventh. He did get back a shot on tenth. However, another bogey on 12th saw him back at two-over.
Birdies on 15th and 18th with a bogey in between on 16th saw him finish at 72.
India's other challenger at the event, Anirban Lahiri birdied second and third, but thereafter fell apart with six bogeys and a double bogey to finish with a 76 and exit early.
Rookie professional Nathan Holman, meanwhile, ensured a third round pairing with his idol and Masters winner, Adam Scott.
Holman shot a second round of 6-under 65 to cement his spot in the final group of tomorrow alongside the defending US and Talisker Masters Champion, Scott.
Scott shot 67 and 66 to Holman's 68 and 65 to share the top place at nine-under 133. Mathew Griffin (69-65) and Nick Cullen (65-69) are tied for third at eight-under 134.
Bhullar is one-under 141 and in tied 19th position, down from his overnight 12th place.