Randhawa (67) moved to five-under 205 and tied 13th, up from overnight 20th place.
While Randhawa was continuing with his revival, New Zealand's Michael Campbell carried on his remarkable run with a one-under 69 that kept him in joint lead with Spanish veteran Miguel Angel Jimenez, who, at 48 years, showed he is still a strong contender with a flawless two-under-par 68.
Campbell and Jimenez were at 10-under, one ahead of last week's winner Mattero Manassero (64) including a streak of five-under over four holes from 13th to 16th.
Randhawa birdied the second and the 10th before landing an eagle on par-5 13th. He gave away a shot on 14th to all to three-under and he finished there.
"It's been great. I've been improving as the week goes by. So I played a little better today, felt very comfortable with my game, and I scored well. Maybe one or two more birdies would be nicer but three under is three-under.
"I guess I just need to be playing the way I'm playing, just try and focus and do the best that I can like I did today," said Randhawa.
"I just need to focus on what I can do. I haven't played most of the season, just taking it easy, shifting houses. Now that I'm playing, I've started to play a little better and my form is coming back. Hopefully, I can end the season well and then look forward to next year."
Manassero fired an ominous warning to his elder rivals as he charged back into contention with a 64 to share third place with China's Zhang Lian-wei, who will become the third oldest winner on the Asian Tour at 47 years and 171 days if he completes his dream 'Chinese Slam' tomorrow.
Jimenez, past winner in Hong Kong in 2004 and 2007, is aiming for a hat-trick, turned in 34 and picked up his first birdie on the 10th hole. He marked his card with another birdie on the par-five 13th.
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