The 28-year old Advani, ranked 70th, thus joined compatriot Aditya Mehta who Monday night had put out 2002 World champion Peter Ebdon 4-3 in a titanic contest. In the process, Advani also posted the tournament's highest break so far of 134 clearance in the fourth frame.
While Advani faces World No.11 Mark Allen in the next round, Mehta goes up against Hamdah Miah, an Englishman of Bangladeshi ancestry. Both matches are scheduled for Wednesday.
Advani was off to a flier as he took the first frame on a break of 74 and the second on the colours after Campbell fluffed a sitter green. The World No. 27 Scot fought back with a delightful 39 clearance to take the third that Advani had started with a run of 52.
Advani then uncorked the 134 clearance in the fourth for a 3-1 lead. The break nearly ended on 49 when the black wobbled in the jaw before sinking, much to the relief of Advani and the packed crowd.
The fifth frame saw Advani opening with a run of 52 and the 41-year old Campbell, after a few tentative attempts, threw in the towel as he required snookers at that stage.
While admitting that he started off well in the match, Advani felt that winning the second frame was crucial to the outcome, but with Campbell not in best of form, he realised he could control the match.
"It was a good start for me, but the second frame was crucial as it could have gone the other way. He has not been in best of form on the circuit, but had he won the second frame, it could have been different. Winning the second frame gave me a lot of confidence."
Advani said he did not remember much of the century break and only realised that he was on a big break with only two reds left on the table.
"Frankly, I do not remember much or how it all started. Only when there were last two reds, I realised I was on a big break. I was lucky when on 49 as I took the eyes off the black, but it hit the jaw before rolling in."
Looking ahead to Wednesday's 8 p.m. match against Allen, Advani said: "I have not played Allen before, but he is in good form. He recently won an European PTC event in Germany."
Earlier, four times World champion John Higgins, along with Stephen Maguire and young Anthony McGill brought cheer to the Scottish camp by advancing to the second round.
Higgins, struggling to regain form of the old, handed out a 4-0 drubbing to England teenager Joel Walker 4-0, while World No.5 Stephen Maguire coasted to a 4-1 win over Paul Davison and McGill displayed top form to overcome seventh ranked Barry Hawkins 4-1, posting two century breaks in the process.
World No.10 Higgins, though not in best of form, benefitted greatly from the mistakes committed by a nervous 19-year old Walker who was playing his first televised match that saw the veteran Scot shrugging off a scratchy start to finish with breaks of 76 and 61 in the third and fourth frames.
"It is the best table that I have played on all year. I was lucky today. It was Joel's first match on the TV and he was gave me lot of chances.
"I have not been playing well of late because I was tinkering with the cue that I changed a few times, tried different sizes. But now, I am happy with my cueing and hopefully, win a few matches," said the 43-year old Higgins.
McGill, only 22, gave further evidence of his talent by putting out Engand's Hawkins, runner-up to Ronnie O'Sullivan at the season-ending World Championship earlier this year.
McGill, ranked 47th, showcased his talent during his breaks of 123 in the second and 103 in the fifth while Hawkins scored his first points of the match only in the third frame. Hawkins managed to snatch the fourth, but McGill shut the door with a run of 103 in the fifth.
Gary Wilson, the 2004 World junior champion, joined the list of centurions with a break of 125 in the third frame, as he outplayed higher-ranked fellow-Englishman Dominic Dale 4-0 to also advance to the second round.