24-year-old Delhi lad Madan, who made his maiden senior national final from the qualifiers, won the third, fifth and seventh frames to make it 3-4.
However, the 12-time world champion Advani was unstoppable from there on as he did not give Madan any chance, winning the eighth frame by posting a 74 break before clinching the issue in the next with an 81 break with the final scoreline reading 83(45)-15, 73(54)-35, 27-86(57), 79(47)-00, 13-87(62), 76(70)-35, 48-72, 74(74)-00, 96(81)-09.
The 29-year-old Bangalore ace cueist, who had won the senior national billiards last week, thus capped a memorable two-week stint in Kolkata winning his fourth double, first since 2009.
"With each passing year, I feel to achieve the double is becoming tougher with so many specialists in either billiards or snooker. But I'm somewhere in between. I'm glad that I remained unbeaten," Advani said after clinching his seventh senior national title.
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Playing in both the formats for last two weeks had been quite hectic and Advani said he was looking forward to take some rest now.
"I think I played much better today. I was fresher, it was just one match today. I had time to recover. I've been playing billiards and snooker for the last two weeks and I was reaching a stage where I wanted to take some time off the game. I'm glad I can do it now," he said.
"We've been good friends, we used to hang out in England. I'm very happy for him for making his maiden final. He'll have really good years of snooker. This will be a learning experience him.
"He was not experienced as Dharminder Lilly (in the semis), so was not able to trouble me tactically. I thought his attacking play was phenomenal. I think once he steps up his tactical side he'll be tough to beat," said Advani.