Chawrasia had shot 69 and 75, while Jeev carded 70 and 76 when the third round ended.
Meanwhile, Felipe Aguilar from of Chile stayed in front after the third round but was joined at the top of the leaderboard by Lucas Bjerregaard from Denmark.
They jointly lead the event at 16 under par.
Aguilar, who started the day with a one shot lead, came in with a 67, while Bjerregaard recorded a 65 on a remarkable day of low scoring at Topwin Golf and Country Club.
Aguilar has two European Tour titles to his name but a victory here would be a brilliant return to form after making just one of his previous seven cuts.