Pankaj, 28, could not stand the English test as Robbie outplayed the Bangalore lad 10-7.
Leading 7-4 in the best-of-19 frames, Advani lost track after the English pro won 6 frames on the trot.
Advani, who has a World Snooker title in his kitty, had only two breaks in the entire match with 17 frames played.
Chasing his maiden World title, Williams, 27, has one more hurdle to cross before he makes the cut for the tournament's main draw, starting Saturday.
"In snooker terms I'm getting on a bit at 25 and I knew this was one of my last chances to get on the tour. I have come very close to getting on before, which made me more determined. My ultimate goal is to get into the top-16."
India's 'Golden Boy', Advani though will have to contemplate his next season to match the rivals in their own game.
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