'They also agreed that for the overall development of bilateral relations it was essential to maintain enduring peace and tranquillity in the border areas,' the MEA said in a statement.
The US hopes that the differences will be resolved peacefully, officials said in Washington.
The confrontation, which happened on January 2, saw the shepherds reportedly throwing rocks at the Chinese personnel.
The two militaries are set to hold extensive talks on finalising modalities for restoring normalcy and bringing back peace and tranquillity in the region after the verification of the disengagement exercise is completed.
The recent action comes amid the ongoing tension between India and China after the violent standoff on June 15 in Galwan Valley area in eastern Ladakh in which both sides suffered casualties.
In the next few days, Indian Army will carry out a detailed verification to check actual implementation of the disengagement process, he said. It is learnt that the mutual disengagement in Gogra (patrolling point 17A) is expected to be completed by Thursday.
Yes, we (Quad) had a discussion on India-China relations because it was part of how we briefed each other about what was happening in our neighbourhood, Jaishankar said.
The talks till now have resulted in the resolution of issues in North and South Bank of Pangong Tso, Galwan and Gogra Hot Spring areas.
Sources said the Indian delegation was warmly greeted by senior officials of the Chinese Army before the talks began.
'but the terrorism issue should be fair, square at the centre of the conversation. It is the major issue ... I am not saying there are no other issues. But I am not going to duck that issue for the sake of talking'
China has alleged that the Indian troops twice crossed the border line on June 15 for "illegal activities and provoked and attacked Chinese personnel" which led to serious physical conflict between the two sides, hours after the Indian Army said the violent face-off took place between the troops during the "de-escalation process" in the Galwan Valley.
A joint statement released on Thursday said both sides exchanged views in an 'open and constructive' manner to resolve the 'relevant issues' and that it was agreed to maintain 'security and stability' on the ground in the region.
"After the Major General-level talks on Wednesday, the talks are expected to be held over the next few days in Chushul at multiple levels to find solutions to the dispute in specific areas," sources said.
Gen Pande also said that Indian troops are adequately deployed along the Line of Actual Control to deal with any situation and that guidance has been given to them to "remain firm and resolute" in their tasks.
Senior commanders of the two armies held intense negotiations for nearly 11 hours on Sunday at a designated meeting point in Moldo on the Chinese side of the Line of Actual Control.
The next phase of the de-escalation process will kick off only after the fourth round of talks between corps commanders of the two sides.
The intrusions into India were likely carried out by the PLA's better trained and equipped 'mobile operational units'.
This is the third round of Corps Commander-level talks being held. The first two rounds had taken place in Moldo on the Chinese side of the LAC.
'China is unwilling to restore the status quo ante of April 2020.' 'India will have to weigh its options based on this premise.'
'India's behaviour violated agreements...It's a serious military provocation'
Chinese Foreign Ministry spokesman Wang Wenbin said this at his media briefing as he parried questions on India's assertion that consensus reached by the leaders on maintaining peace along the border cannot be swept under the carpet.
With the Indian Army having blocked the PLA several kilometres inside India, hundreds of soldiers from both sides remain in a tense face-off.
Gen Wang is the fourth commander to head the Western Theatre Command after the eastern Ladakh standoff began in May last year.
The MEA said it was the Chinese side that recently undertakook activities hindering India's normal patrols in the areas.
China has been taking "incremental and tactical actions" to press its claims at the Line of Actual Control (LAC) with India and has unsuccessfully sought to prevent New Delhi from deepening its relationship with the US during and subsequent to the standoff, the Pentagon has said in a major report on China's military modernisation.
The military brass is learnt to have apprised Modi about the evolving situation in eastern Ladakh, though officials maintained that the agenda of the pre-scheduled meeting was to discuss the ambitious military reforms and ways to boost India's combat prowess.
Jaishankar said China, in violation of the 1993 and 1996 agreements not to mass troops on the Line of Actual Control, chose to do so, and added that its attempt was obviously to unilaterally change the LAC.
In a written reply to a question in Lok Sabha, Minister of State for External Affairs V Muraleedharan gave a brief account of the four-month-long standoff and said the Chinese side attempted to transgress the Line of Actual in several areas of the western sector since mid-May.
"Most worrisome are China's technological advances in the spheres of cyber and space domain, which often transcend beyond the military, to include critical national infrastructure as well," General Bipin Rawat said at the three-day Indian Air Force Conclave.
The decision to disengage the forces, locked in a bitter standoff for the last six weeks in eastern Ladakh, was taken at a nearly 11-hour-long meeting between senior Indian and Chinese commanders in Moldo on the Chinese side of the Line of Actual Control (LAC) on Monday.
During the course of the intense and complex negotiations between senior commanders of the two armies that ended at 2 am on Wednesday, the Indian delegation also apprised the Chinese PLA about the "red lines" and conveyed that the onus was largely on China to improve the overall situation in the region, the sources said.
'General Secretary Xi Jinping has greenlighted a brutal campaign of repression against Chinese Muslims, a human rights violation on a scale we haven't seen since World War II. Now, the PLA has escalated border tensions with India'
Experts said the tensions have added to a sense of apprehension in the United States, Europe and parts of Asia that China will engage in more aggressive behaviour in pursuit of its territorial interests, which in turn has raised the possibility of a serious and coordinated pushback by leading global players.
'They will try more rounds of military level talks and move it to the diplomatic and political domain to see if there is a possibility of a solution -- and like the CDS said if that does not happen, we are prepared.'
The Tridents squadron which is now also known as the "Defender of the North" has replaced the MiG-21 squadron at the Srinagar air base which has traditionally been responsible for taking care of the threat from Pakistan.
Chinese mobile manufacturer Vivo will return to sponsor the IPL this season after its attempts to transfer the rights to another company failed to materialise as offers were not upto its "expectations".
The statement of Commander of US Indo-Pacific Command Admiral John Aquilino on Wednesday came ahead of the 15th round of high-level military talks between India and China on March 11.
The marathon fourth round of Lt Gen-level talks also focussed on steps for pulling back large number of troops and weapons from rear bases along the Line of Actual Control in eastern Ladakh.
'We hope this round of meeting, on the basis of previous meetings, can move forward, further enlarge consensus, narrow differences and work for a solution that is acceptable to both parties,' the spokesperson said in updated comments posted on the ministry's website.
The NSA particularly highlighted the need for resolving outstanding issues as quickly as possible and talked about the need for maturity and sincerity in dealing with the issue.