Ghosal, ranked 14th, won 3-2 after a no-holds-barred, 67-minute final against the much taller Swiss ranked 33rd in the world for his second crown at home in four months on the Professional Squash Association tour.
The 31-year-old Ghosal won 11-9 5-11 6-11 11-7 12-10, after bouncing back from 3-7 and 5-8 by reeling off five straight points to hold championship points at 10-8.
Mueller had beaten Ghosal in three straight games in January, 2017 in the Tournament of Champions in USA earlier but could come only second-best in the last two meetings between the two players.
"Today neither of us deserved to lose. It was a great match. We entertained the crowd. Both of us fought clean in the way we played. I am happy I came out on tops but congratulations to Nicky for the way he played," said the Indian champion after his title win.
"I did well in the fourth fifth I was down all the way through 5-8. I don't think I played errors. He played really well. I had a very good patch not short hitting but hitting it to the back. I was getting the length and width the way I wanted it to. I had to do something special and put him under pressure. There were brutal rallies. At 10-all, it was anyone's match," he added.
Ghosal fought back to make it 2-2 by making Mueller scamper around the court chasing the ball with quick change of pace and angles in the fourth game after the score stood 7-all.
The deciding fifth game saw both players fighting tooth and nail but the Swiss seemed to hold an edge with a few forehand winners at 8-5 before Ghosal bounced back in brilliant fashion with some excellent retrievals and punishing shots.
After drawing level at 8-all, Mueller twice found the 'tin' to trail 8-10, retrieved poise to draw level before conceding a 'stroke' and then finding the tin again while attempting a backhand drop when facing a third match-ball to lose the summit clash.
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