Also advancing were former Asian billiards champion Sourav Kothari, who ended the run of Lucky Vatnani, winning 5-1.
In another match, Varun Madan defeated former Asian billiards champion Dhruv Sitwala 5-3 to move up.
Advani, the 18-time world champion, started slowy and was trailing in the first frame, but he cleared the table in the end to clinch the frame.
He did not look back after that as he took the next four to win in an hour's time.
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He took the first two frames in quick time with attacking play.
Shah came back strongly in the third frame with a phenomenal break of 71.
Ishpreet retaliated by winning the next two consecutive frames to lead by 4-1.
Rupesh held his nerve and played his best to level it at 4-4 with brilliant safety play and potting.
In the deciding the frame Ishpreet made a break of 41 to secure his win.
Results: Vinayak Agarwal bt Digvijay Kadian 5-4 (15-38, 30-5, 36-7, 30-40, 8-46, 41-17, 50-17, 12-43, 32-7); Ishpreet Singh Chadha bt Rupesh Shah 5-4 (59-7, 59-0, 0-71 (71), 46-9, 55 (55)-8, 22-34, 32-40, 13-40, 41 (41)-27); Varun Madan bt Dhruv Sitwala 5-3 (16-43, 39-6, 33-29, 8-36, 35-9, 31-32, 37-7, 45-13); Sourav Kothari bt Lucky Vatnani 5-1 (40-8, 65 (41)-4, 30-10, 8-55, 42-14, 35-20).