With a good number of players ahead of him yet to finish at the Wentworth Club, Chawrasia was tied-23rd, up from overnight tied-49th.
With the third round still in progress, Danny Willett moved ahead into sole lead at 11-under, while YE Yang and Scott Hend, co-leaders after 36 holes, dropped to tied-second and two shots behind. The lead group had 10 holes each to play.
Chawrasia, winner of the Hero Indian Open, his third career European Tour title earlier this year, rued his second round, where he dropped some birdies from the fairway.
"I have been playing well, but some small mistakes cost me a lot But the third round was alright, though I had a couple of more chances. There is one more to go and it is a tight tournament," he said.
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Chawrasia had a staid first 10 holes with one bogey and nine pars, before he birdied 12th, 13th and 14th. A bogey on 14th was a setback before he got that shot back on 16th and rounded off with two pars on the closing par-fives.
At the end of the second round, Masters Champion Danny Willett (68) held a share of the lead with Australian Scott Hend and former US PGA Champion YE Yang -- both Yang and Hend had eagles on their cards.