The sources said both sides held extensive deliberations on modalities for disengagement of troops from all the friction points in eastern Ladakh at the talks.
The Army Chief replied in the affirmative when asked by the moderator whether he concurs with Prime Minister Narendra Modi's remarks after the border standoff that the Chinese have not come into control of Indian territory.
It is learnt that Defence Minister Rajnath Singh has conveyed to top military brass that there was no need for reviewing the implementation of any of the key projects along the Line of Actual Control (LAC) in Ladakh, Sikkim, Uttarakhand or in Arunachal Pradesh in view of the aggressive behaviour by Chinese troops in several sensitive areas.
Oli said the territories belong to Nepal 'but India has made it a disputed area by keeping its Army there'. "Nepalis were blocked from going there after India stationed its Army," he said.
Singh said if there is an attempt to hurt the self-respect of India, then it will not be tolerated and will be given a 'befitting reply'. "Whatever progress has been made in the talks, there should be a resolution of the matter. But to what extent it will be resolved, I cannot guarantee."
There was no comment from the Indian side on the statement made by the Chinese defence ministry spokesperson Colonel Wu Qian, and carried by China's official media.
Both the Indian and Chinese armies have brought in more troops in sensitive locations like Demchok, Daulat Beg Oldie and areas around Galwan river as well as Pangong Tso lake in Ladakh, the sources said. The area around Galwan has been a point of friction between the two sides for over six decades.
Nepal raised objection to India's newly-inaugurated road linking Lipulekh Pass with Dharchula in Uttarakhand.
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.
In the review meeting, Singh told the top military brass to continue to deal with the situation in eastern Ladakh and other areas with "firmness".
He said both sides reaffirmed to sincerely work towards complete disengagement of the troops along the LAC.
On Tuesday, Pompeo and Esper will hold the 2+2 talks with External Affairs Minister S Jaishankar and Defence Minister Rajnath Singh, covering the entire expanse of defence and security ties as well as key regional and global issues.
Lauding the bravery displayed by the soldiers, the prime minister said: "The bravery that you and your compatriots showed, a message has gone to the world about India's strength."
Army Spokesperson Colonel Aman Anand said troops from China's People's Liberation Army (PLA) 'violated' the consensus arrived at during military and diplomatic engagements on the ongoing standoff in eastern Ladakh, and carried out provocative military movements to change the status quo.
The joint statement said Jaishankar and Wang agreed that both sides should take guidance from the series of consensus reached between leaders of the two countries on developing India-China relations, including not allowing differences to become disputes.