"Chinese Foreign Minister Wang Yi called on the PM in New Delhi," the prime minister's office tweeted.
The talks were "constructive and cordial," said Syed Akbaruddin, the spokesman for India's Ministry of External Affairs.
Syed said the meeting was a "courtesy call from the Chinese minister. He said Beijing's envoy delivered a written message from China's president describing the two countries as "partners in long-term strategic cooperation, said a Wall Street Journal report.
Syed added that Modi gave a statement in return saying that "India and China share strong civilizational contacts" and should work to "expand our partnership."
On Sunday, External Affairs Minister Sushma Swaraj and visiting Chinese Foreign Minister Wang Yi had held "cordial, useful, productive and substantive" talks covering the entire gamut of bilateral relations".
(With IANS inputs)