Swaraj and Dorji mainly focussed on the Doklam standoff, with their discussions centring round the positions taken by their countries on the issue and measures taken to end the face-off, according to diplomatic sources.
"Nobody should have a doubt on that", the Defence Minister asserted.
"We hope that the current standoff in Doklam will be sorted out peacefully", Dorji said after the meeting. "EAM meets with FM of Bhutan Damcho Dorji on sidelines of BIMSTEC Foreign Ministers' meet", India's External Affairs Ministry spokesperson Ravish Kumar tweeted with a picture of both leaders meeting.
Both the leaders were in Kathmandu to attend the meeting of Foreign Ministers from the Bay of Bengal Initiative for Multi-Sectoral Technical and Economic Cooperation (BIMSTEC) member countries.
The United States said on Friday that it wants India and China to have a dialogue over the Dokalam stand-off. "It is my opinion China and India can make joint contributions to the safety and security of the Indian Ocean", Capt Liang Tianjun, Deputy Chief of General Office of China's SSF said.
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"It's a situation that we have certainly followed closely", U.S. state department spokesperson Heather Nauert told reporters at a news conference. "As you know, we have relationships with both governments".
The meeting comes as the Government of Bhutan on Thursday refuted Chinese foreign ministry claims that Thimpu had told Beijing that the trilateral junction in Doklam is not Bhutanese territory.
The confrontation between Indian and Chinese troops is now in its second month.
Indian and Chinese troops continue to be locked in a standoff in Doklam and both sides have moved additional troops, ammunition and military equipment to the area. The standoff started after India on Bhutan's request stopped a Chinese construction party from building a road in disputed region. China viewed the Indian forces' action an unwarranted interference.