Military sources said both Chinese and Indian armies withdrew some troops and removed temporary infrastructure from Galwan and Hot Springs and patrolling area PP-15.
The two sides will hold Major-General level talks on Wednesday to further ease tensions in the areas, they said.
Indian and Chinese troops were engaged in a month-long confrontation since May 5 following a violent clash in Pangong Tso which is turning out to be biggest military standoff after the 2017 Doklam episode.
In their first serious efforts to end the row, Lt General Harinder Singh, the general officer commanding of Leh-based 14 Corps, and Commander of the Tibet Military District Maj Gen Liu Lin held an extensive meeting on Saturday. However, it could not produce any tangible results.
In a statement, the external affairs ministry on Sunday said the meeting took place in a "cordial and positive atmosphere" and that both sides agreed that an "early resolution" of the issue would contribute to the further development of the relationship between the two countries.
In its comments, the Chinese Foreign Ministry said both the countries have agreed to work to maintain peace along the Line of Actual Control and resolve the standoff through talks.
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Saturday's talks also came a day after the two countries held diplomatic talks during which both sides agreed to handle their "differences" through peaceful discussions while respecting each other's sensitivities and concerns.
After the standoff began in early last month, Indian military leadership decided that Indian troops will adopt a firm approach in dealing with the aggressive posturing by the Chinese troops in all disputed areas of Pangong Tso, Galwan Valley, Demchok and Daulat Beg Oldie.
The Chinese Army has been gradually ramping up its strategic reserves in its rear bases near the the LAC by rushing in artillery guns, infantry combat vehicles and heavy military equipment, the sources said.