This was conveyed to National Security Advisor Ajit Doval by his Chinese counterpart Yang Jiechi when they met in Beijing last week during the annual 19th round of boundary talks.
The Chinese side has said that they have resolved their boundary dispute with 12 countries and they were keen to settle all differences with India once for all and as early as possible, sources privy to the discussion said.
The Chinese side was very assertive in their approach and they were very categorical in the meeting, the sources said.
China has rarely publicly talked about meeting India "half way" on the vexed boundary dispute.
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The reference to both the countries to stay on track for a political settlement is seen as significant as officials on both side say negotiations have reached a stage for the political leadership on both sides to take a decision to reach a solution.
Sources said during the Doval and Yang meeting, both
India and China reiterated their commitment of not allowing any activities inimical to each other on their soil.
India recognises one China policy and similarly Beijing does not allow any anti-India elements in its territory.
Sources said Tibetans living in India are not allowed legally to carry out any anti-China protests and whenever they do it, they are arrested immediately.
These were part of the agreement signed by India and China in 1980s, sources said.