Earlier, Frittelli was in the driving seat after taking a four-shot lead to the back nine but a double bogey on the 12th hole saw him lose momentum.
Following his fourth European Tour title and his first of the season, Levy said he is aiming for a home Ryder Cup appearance at Le Golf National in 2018.
"That's an amazing feeling to be back in the winner's circle," Levy said.
"It's a goal and a dream for me to play the Ryder Cup in France. I will do a lot of work to play the Ryder Cup and I will do my best to be part of the team."
Pablo Larrazabal, who started the day in second, endured a terrible start with back-to-back bogeys and signed off with a 72 to finish third.
Austria's Bernd Wiesberger, last week's winner at Shenzhen International, maintained his impressive run in China after carding a 67. He finished tied-fourth alongside England's Chris Wood.
(Reporting by Hardik Vyas in Bengaluru, editing by Pritha Sarkar)
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