The leading trio were on the back nine when play was suspended with South Korean Lee, seeking his first European Tour win, and Englishman Slattery having completed 13 holes.
Frenchman Levy, who won the China Open on the same course in 2014, faces a birdie putt on the 13th green when play resumes.
Australian Scott Hend is in the clubhouse at 13-under after a bogey-free 66. South African Brandon Stone and Dutchman Joost Luiten are also 13-under.
Two-time major winner Bubba Watson returned an impressive 66 to be 10-under along with four others.
(Reporting by Amlan Chakraborty in New Delhi; editing by Toby Davis)
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