The bilateral meeting, on the sidelines of BRICS, comes a week after standoff between both the countries at Doklam was ended.
Xiamen: Chinese President Xi Jinping told Indian Prime Minister Narendra Modi that China is prepared to work with India to seek guidance from the five principles of Panchsheel.
The Chinese President said, "A healthy and stable China-India relationship serves the interests of people in both countries."
Xi said, "India and China are each other's major neighbours, we are also two of the world's largest and emerging countries."
Both the leaders are holding the first bilateral meeting at Xiamen in China where leaders of Brazil, Russia, India, China and South Africa have congregated for the 9th annual BRICS summit.
The meeting between Modi and Xi is being closely watched as it comes days after the 73-day Doklam standoff between the two countries was ended last week
The meeting is taking place on the sidelines of the BRICS summit which started on September 3.
On Monday, Chinese President Xi Jinping greeted Indian Prime Minister Narendra Modi with a smile and a warm handshake.
In the evening, Modi attended a banquet hosted by Xi and his wife for the BRICS leaders.