Mr Wang made the remarks on Monday in South Africa's capital Pretoria during a meeting with Indian External Affairs Minister Sushma Swaraj on the sidelines of the formal meeting of the BRICS Ministers of Foreign Affairs, Xinhua news agency reported on Wednesday.
China and India have extensive common interests and they have far more consensus than differences, Mr Wang said.
The two sides should take bilateral relations and people's fundamental interests as a starting point at all times, properly handle problems and differences and prevent the interests of one party from affecting the overall interest, Mr Wang said.
The two sides should earnestly safeguard peace and tranquillity in the border areas in accordance with the consensus reached by their leaders and avoid taking actions that might complicate and aggravate the situation, Mr Wang said.
Sushma Swaraj said the informal Wuhan meeting between the leaders of India and China enhanced mutual trust between the two countries, strengthened cooperation, made the parties more comfortable with each other and achieved unprecedented success.
She said India will firmly adhere to the one-China policy and properly handle issues involving the core interests of China such asTaiwan and Tibet-related issues.
India and China, as the two largest emerging markets and developing countries, share a common position in safeguarding the international political and economic order and promoting the improvement of global governance, the Indian Minister said.
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