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.
India has already mobilised fighter jets and sent thousands of additional army troops to forward locations along the border with China after 20 Indian Army personnel were killed in a brutal attack by Chinese troops in eastern Ladakh's Galwan Valley on June 15.
In a statement, the Prime Minister's Office (PMO) said the focus of Modi's remarks at the meeting on Friday was the events of June 15 at Galwan that led to the loss of lives of 20 Indian military personnel.
External Affairs Minister S Jaishankar on Saturday credited the breakthrough agreement with China on patrolling along the Line of Actual Control to the military which worked in 'very very unimaginable' conditions and deft diplomacy.
India on Friday said the onus is on China to address the remaining unresolved issues relating to the eastern Ladakh row and that peace and tranquillity along the frontier were key for the restoration of normal relations between the two sides.
The two sides have already held seven rounds of Corps Commanders level talks to discuss the entire issue of transgressions in the Eastern Ladakh sector.
The Indian Air Force will carry out a mega exercise covering the Northeastern region early next month to check its combat readiness, amid a fresh spike in tension with China along the Line of Actual Control in Arunachal Pradesh.
Defence Minister Rajnath Singh on Saturday said India has never attacked any country out of hatred or contempt but if its interests are threatened, 'we will not hesitate to take a big step'.
"All temporary structures and other allied infrastructure created in the area by both sides have been dismantled and mutually verified. The landform in the area has been restored by both sides to the pre-standoff period," the Army said in a statement.
The Chinese military on Friday confirmed that the troops of China and India have begun the process of disengagement from the Patrolling Point 15 in the Gogra-Hotsprings area of eastern Ladakh in a 'coordinated and planned way'.
The government has adopted a multi-pronged approach involving the Army, the Indian Air Force and the Navy as well as diplomacy and economic measures to send out a firm and clear message to China that its misadventure in eastern Ladakh was not acceptable at all.
As soon as one lands at the Leh airfield, one can see the Indian Air Force C-17s, Ilyushin-76s, and C-130J Super Hercules aircraft flying in with rations and supplies for the troops deployed on the forward locations opposite the Chinese forces.
Throughout its standoff with India along the Line of Actual Control (LAC), Chinese officials sought to downplay the severity of the crisis, emphasising Beijing's intent to preserve border stability and prevent the standoff from harming other areas of its bilateral relationship with India, the Pentagon said in a report on Tuesday.
China has not yet talked about the number of casualties suffered by the People's Liberation Army during the clash.
The navy has significantly expanded its deployment in the Indian Ocean Region deploying a plethora of warships and submarines to create pressure points on China as the maritime space around the Malacca Strait is very critical for its supply chain through sea routes.
India, China have agreed to hold another round of talks soon.
It is learnt that the face-off took place after a Chinese patrol tried to enter Indian territory and the troops of China's People's Liberation Army were forced back.
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.
"The contents of video being circulated are not authenticated. Attempt to link it with the situation on the Northern borders is mala fide," the army said in a statement. It said differences between the two sides are being addressed through interaction between military commanders following established protocols on management of border between the two countries.
In an address at a virtual seminar, General Rawat said the situation along the Line of Actual Control in eastern Ladakh remained tense and that India's posturing has been "unambiguous".
Qin, who is visiting New Delhi to attend the G20 Foreign Ministers meeting on Thursday, is expected to meet Jaishankar on its sidelines though the foreign ministry here is tight-lipped about it.
General Zhao Zongqi is well known in India for having commanded the Chinese troops during the Dokalam episode. Zhao knows every inch and corner of the Indian border, at least the Eastern and Central sectors, including the Naku La area which witnessed fist-fights between Indian and Chinese troops in April/May. Claude Arpi introduces us to the PLA generals masterminding the Chinese aggression in Ladakh.
The action against Zakir Hussain, a councillor from Shakar constituency in Kargil district, followed registration of a first information report against him by police on Friday even as the councillor submitted a public apology over his remarks, the officials said.
'However, we must implement a tit-for-tat approach -- reciprocating their conduct with precision.' 'If they demonstrate respect, we respond accordingly. If they adopt hostile positions, we mirror that hostility with equal intensity.'
External Affairs Minister S Jaishankar on Saturday said the breakthrough agreement with China on patrolling along the Line of Actual Control (LAC) does not mean that issues between the two countries have been resolved, however, the disengagement allows us to look at the next step.
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.
"On the border issue, China always maintains that we should follow through on treaties and agreements we signed and we jointly uphold peace and tranquility at the border region," Foreign Ministry spokesman Wang Wenbin said while responding to Jaishankar's remarks.
Sources said the process of disengagement along the Line of Actual Control is "complex", and in such a context, speculative and unsubstantiated reports need to be avoided.
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.
"What just happened is that we have agreed on the need to disengage because the troops on both sides are deployed very close to each other. "So there is a disengagement and de-escalation process which has been agreed upon," he said during an video interactive session at the India Global Week.
Gen Rawat carried out an aerial recce of certain areas and was briefed about key aspects of the security matrix in the region by senior military commanders.
The humanitarian gesture by the army came when it is dealing with an aggressive behaviour by the Chinese troops in eastern Ladakh.
Esper also highlighted the 'increased' military cooperation with India and called it as 'one of the most important defence relationships of the 21th century'.
The world has seen India's strength and commitment to protecting its borders and sovereignty, he said and paid rich tributes to the 20 soldiers who were killed during a violent clash with Chinese troops.
The Indus system of rivers comprises the main river -- the Indus -- along with its five left bank tributaries, namely, the Ravi, the Beas, the Sutlej, the Jhelum and the Chenab. The right bank tributary, the Kabul, does not flow through India.
It seems that the People's Liberation Army (PLA) is not in a mood to de-escalate the situation on the Line of Actual Control (LAC) as it has continued deployment of around 40,000 troops in its front and depth areas for the Eastern Ladakh sector.
'In the short term the relationship will get worse.'
The agenda of the talks will be to firm up a roadmap for disengagement of troops from all the friction points in eastern Ladakh, the sources said.
Former vice chief of Indian Air Force Air Marshal P K Barbora (retd), known to be an outstanding air warrior who was instrumental in reactivation of the Daulat Beg Oldie (DBO) air strip in eastern Ladakh, passed away at a military hospital in New Delhi on Monday. He was 72.
Recalling the Galwan incident, he said the bravery, valour and restraint shown by the Indian Army are incomparable and unparalleled.