The meeting took place ahead of the Shanghai Cooperation Organisation (SCO) summit and covered key aspects of the bilateral engagement, reflecting the resolve by the two countries to reset relations and bring back trust in their ties, hit by the Doklam standoff and several other thorny issues.
SCO nations may discuss the potential of a joint free trade area, she said, as China also pushes for participation in its Belt and Road global infrastructure project. He was in the Chinese city of Wuhan on April 27 and 28 to attend an informal summit with President Xi Jinping.
It is for the first time the Indian Prime Minister will be attending the SCO summit after India along with Pakistan became a full-fledged members of the grouping, jointly dominated by China and Russian Federation, which has been increasingly seen as a counter to North Atlantic Treaty Organisation.
He also said he would be holding multiple meetings with the heads of various SCO member states on the sidelines of the summit.
The SCO now has eight member countries which represents around 42 per cent of the world's population and 20 per cent of the global GDP.
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Mr. Modi said he had detailed discussions with the Chinese President on bilateral and global issues, which would add further vigour to the India-China friendship after their "milestone" informal summit in Wuhan.
In his address at the SCO, Modi is likely to articulate India's position on dealing with major challenges facing the world including ways to tackle terrorism, and boosting trade and investment in the region.
India and China on Saturday agreed on measures to build on the consensus achieved by their leaders during recent talks in Wuhan, including the next informal summit to be held in India in 2019 and steps to maintain peace along the disputed border.
The president also plans to hold bilateral meetings with the leaders of Uzbekistan, Tajikistan and Pakistan, and a tripartite meeting with the presidents of China and Mongolia.
Chinese President Xi Jinping will open late Saturday a two-day regional security summit attended by Russia, Iran and other allies confronting rising tensions with the U.S. over trade and Washington's withdrawal from the Iranian nuclear deal.
The SCO, launched in 2001 mainly to combat radical Islam and other security concerns across Central Asia, added traditional rivals India and Pakistan as members past year.