Thompson, ranked 94 in the ATP rankings, will be the top-seed while Bhambri the second-seed, a TNTA release said.
The cut-off for the singles draw in the USD 50,000 tournament is 277.
The other Indians in the main draw are Saketh Myneni, Sumit Nagal and Prajnesh Gunneswaran.
Four more Indian players are likely to be handed wild cards into the main draw, the release added.
Spain's Marcel Granollers, a regular at the Chennai Open ATP tournament, ranked 138 currently, and Korea's Soonwoo Kwon, are likely to be seeded three and four.
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