The Chinese side has asked for the meeting and their request is under consideration, army sources said here.
The army is keeping an eye on the movement of Chinese troops in the area and the units in the adjoining areas have also been asked to remain on alert, they said.
The two flag meetings in the last ten days had made no progress in resolving the crisis.
Chinese troops have pitched their tents in the area and Chinese helicopters were seen dropping food packets for the soldiers, although none of them violated the air space. The food packets were later collected by the PLA personnel.
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Tension in the area erupted on Sunday when some Chinese workers, who were constructing a road on their side, crossed into the Indian side and also claimed that they had orders to build a road up to Tible, 5-km deep inside Indian territory.
Chumar was at the centre of the fortnight-long stand-off last year in Daulat Beg Oldie (DBO) as the Chinese side had objected to overhead bunkers erected by the Indian side.
During winter this year, Chinese soldiers attempted to enter the area riding on horses. The area has witnessed frequent incursion attempts by Chinese troops.