China has freed 10 Indian soldiers following a deadly clash between the two sides on Monday, according to Indian media reports.
The Hindu newspaper, quoting military sources, said those released included a lieutenant-colonel and three majors.
The Indian government has not confirmed the news, nor confirmed that any of its troops were missing.
The fight in the Galwan Valley left at least 20 Indian soldiers dead and raised tensions between the two powers.
China did not acknowledge any casualties among its forces, while at least 76 Indian soldiers were injured. Both sides accused the other of an incursion.
The border between the two nations in the region is poorly demarcated and can shift with topographical changes.
According to Shiv Aroor, a senior editor at India Today, the release of the Indian troops formed a key point of negotiations between the two sides on Wednesday.