Terrorism was not discussed at the bilateral, although it figured in discussions in the lead up to the BRICS Summit, which on Monday issued a declaration that strongly endorsed India's concerns and named several Pakistan-based groups.
The ninth edition of the Brics Summit was held in Xiamen, China, from September 3 to 5, which centred on the theme of "Stronger partnership for a brighter future", and was attended by the heads of government of the five member states - Brazil, Russia, India, China and South Africa. China is willing to work with India to improve political mutual trust, promote mutually beneficial cooperation, and "push Sino-Indian ties along a right track", Xinhua quoted him as saying.
Their meeting, the first between the leaders of the two most populous nations since the standoff on the Doklam plateau ended last week, lasted more than twice the scheduled time, officials said.
The meeting, which took place on the sidelines of the BRICS Summit in Xiamen, went on for more than an hour in which both sides decided that they "should respect each other and maintain peace and tranquillity in border areas", said Foreign Secretary S Jaishankar. The two-day forum that started Sunday is an important side event of the BRICS summit.
Xi is also reported to have told Modi that India should treat China's development correctly and rationally.
On August 28, India's External Affairs Ministry announced that New Delhi and Beijing have decided on "expeditious disengagement" of their border troops in the disputed Dokalam area. "We held fruitful talks on bilateral relations between India and China", the Prime Minister tweeted after their meeting.More news: Mumbai rains: Man drowns in open manhole
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Xi also told Modi that "healthy and stable bilateral ties (were) in line with fundamental interests of the two nations". "I hope India can correctly and rationally view China's development".
There was no discussion on the issue of terrorism at the bilateral meeting.
China is a close ally of Pakistan and has in the past sprung to its defense, especially when India tried to isolate its arch rival in worldwide fora.
The violence could hit development of a transport corridor that begins in Rakhine, with the Indian-built port of Sittwe and includes road links to India's remote northeast, analysts said.
The two sides should synergize each other's development strategy, expand cooperations in infrastructure construction and interconnectivity, advance personnel and cultural exchange, strengthen communication and coordination on worldwide affairs, and push ahead with the development of global order in a fair and rational direction.
Even as pressure mounts on Pakistan to crack down on terror activities occurring from its soil, Pakistan today adopted a belligerent approach by rejecting the declaration made by BRICS countries including China.