Pallikal, seeded 12th, showed great skill and determination to beat Ling 7-11 11-6 11-1 11-5 in the first round of the PSA World Series squash event at the Hong Kong Squash Centre.
The Chennai girl will meet third seed Jenny Duncalf of England in the next round of the USD 70,000 WISPA event.
In the men's section, India's Siddharth Suchde lost to Ryan Cuskelly of Australia 6-11 4-11 4-11 in the qualifying final.
In the first qualifying round, Suchde had defeated Hong Kong's Alex Lau 11-6 11-2 11-5 in 30 minutes.