"It is always better to settle the problem on our own," Gogoi said without elaborating on what he meant by 'third party'.
Settlement of border disputes take time as both the parties lay claim on the same areas, Gogoi told reporters after inspecting the ongoing construction work for an annexe to the Assam House here.
Assam has border disputes with Nagaland and Arunachal Pradesh too, cases of which are pending before the Supreme Court, said Gogoi who was in Meghalaya on a two-day visit.
But relationship should not be strained due to the dispute at the borderline and "We must have good relationship among states in the entire Northeast. There are forces trying to destabilize the region," Gogoi said.
His Meghalaya counter Mukul Sangma, however, is not averse to the idea of involvement of a neutral third party.
"This body, if constituted, should comprise of stakeholders from both states but insulated from scope of politicisation," Sangma said.
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He said the border row between the two states have been dragging on for 40 years with non of the government that has actually shown signs of commitment.
Assam and Meghalaya have 12 areas of differences along the inter-state border.