India, China troops begin disengaging from border area: New Delhi
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The two sides agreed during the 16th round of top-level military talks to begin withdrawing "troops in the area of Gogra-Hot Springs", according to the statement.
The move, on the frontier between them in Ladakh, was "conducive to the peace and tranquillity in the border areas", it added.
Beijing did not immediately comment, although New Delhi issued the announcement as a joint statement.
The world's two most populous nations mobilised tens of thousands of soldiers in the high-altitude Ladakh region after a medieval-style, hand-to-hand battle in 2020 left at least 20 Indian and four Chinese soldiers dead.
Beijing claims that state in its entirety and considers it part of Tibet.
Both countries have regularly accused each other of trying to seize territory along their unofficial divide, known as the Line of Actual Control.