Advani, the 2003 World champion, prevailed over young Tomasz Skalski of Belgium 4-2, but not before facing the threat of being knocked out of the tournament.
Skalski surprised the Indian ace, a hot favourite for the title, by winning the first two frames 81-49 and 47-37, but the 12-time World title holder bounced back by winning the next four games on the trot.
"What's good about Advani is his composure when things are not going his way. I have seen many players giving up in such situations, but Pankaj is made of different mettle; he revels in crisis and he did yet again," Sree, Advani's brother and sports psychologist, said.
The most impressive of the Indians was Chandra, who routed last year's runner-up, Muhammad Asif of Pakistan, 4-2.
Chandra won the first two frames 71-6, 67-41, but could not continue in the same vein when he seemed all set to pocket the match.
The Pakistani roared back to reduce the deficit to 1-2, winning the third frame 85-28 before the Indian claimed the fifth 67-12 to make the scorline 3-2.
He then kept his composure and produced an unblemished display to snooker win the sixth frame 95-0 and dash the Pakistani’s hopes of progressing.
Adrian Ridley of Australia forced Madhya Pradesh cueist Chawla to bite the dust with a 4-3 victory.
Chawla had a 3-0 lead but Ridley rallied from the brink to bag the next four frames with breaks of 42 in the sixth and 46 in the decider.
2013 runner-up Zhao Xintong of China had breaks of 81 and 83 en route to a 4-0 win over Antonis Poullos of Cyprus while Jamie Clarke of Wales produced the highest break of 133 in his 4-1 win over Farhan Mirza of Sweden.
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Schedule: ICC Cricket World Cup 2015
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