Chan shot a 72 Saturday to end the day tied with Fredrik Andersson Hed (66), Darren Beck (70), Richard Bland (66), Rahil Gangjee (69), Tetsuji Hiratsuka (70) and Barry Lane (71) for the lead at 11-under 205.
Andrew Dodt (71), David Drysdale (71) and Kwanchai Tannin (70) shared seventh place at 10-under 206.
The golfers returned to New Delhi's DLF Club early after Friday's play was stopped due to a lightning storm. Once they finished the second round, the 36-hole cut was applied and threesomes were formed off both the first and 10th tees in round three.
Chan's birdie on the final hole gave him the lead after two rounds, but he struggled to start the third and was two-over par through 11 holes due to three bogeys and a birdie at the par-five sixth.
Beck and Hiratsuka both bogeyed the last hole after pulling to 12-under par.