Home Minister Sushilkumar Shinde, Health Minister Ghulam Nabi Azad and Overseas Indian Affairs Minister Vayalar Ravi and Ahmed Patel were present at the meeting.
The meeting assumes significance in the wake of the January 28 deadline set by the Centre to decide on the issue.
Shinde had on December 28 said the Centre would take the decision on the issue within a month.
Hectic consultations are on at the highest levels in government amid speculation over various options to resolve the tangle.
Among the various ideas, one is said to be the creation of a territorial administration on the lines of Bodoland and Gorkhaland for the backward region.