Meeting on the sidelines of the Shanghai Cooperation Organisation (SCO) Summit, Modi said India's case should be judged on its own merits and China should contribute to an emerging consensus in the Seoul meeting, according to External Affairs Ministry Spokesperson Vikas Swarup.
The meeting, which lasted for nearly 50-minutes, comes in the backdrop of stiff Chinese opposition to India's entry into the Nuclear Suppliers Group (NSG), which looks after critical issues relating to nuclear sector, including trade and export of nuclear technology.
Swarup also stated that most of the time of the Modi-Xi meeting was devoted to the NSG issue.
Asked if India talked about the need to delink India and Pakistan's NSG membership bids, he said, "...You have heard what Prime Minister told Xi Jingping that China must make a fair and objective assessment of India's application on its own merits and China should join the emerging consensus in Seoul."
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Earlier, Pakistan President Mamnoon Hussain met Xi on the sidelines of the summit and thanked China for supporting Pakistan's case for NSG membership.
"President Xi welcomed India's accession to the SCO and
said it would strengthen it. Prime Minister Modi thanked President Xi for China's support to India's membership of the Shanghai Cooperation Organisation," Swarup said.
India's entry into SCO as a full member will provide it an opportunity to have extended cooperation with member countries in areas of defence, security and counter-terrorism.
The SCO had set the ball rolling to make India a member of the bloc during its summit in Ufa in July last year when administrative hurdles were cleared to grant membership to India, Pakistan and Iran.
SCO was founded at a summit in Shanghai in 2001 by the Presidents of Russia, China, Kyrgyz Republic, Kazakhstan, Tajikistan and Uzbekistan.
Meanwhile, China's official Xinhua news agency in its report did not make any mention whether Prime Minister Modi or President Xi discussed the issue of India's NSG bid.
However, it quoted Xi as saying that India and China have much more common interests than differences, and the two sides should enhance pragmatic cooperation in areas such as trade, railway, industrial parks, energy and electricity, information technology, energy conservation and environment protection.
Xi said China is looking forward to enhancing cooperation with India under the framework of the SCO.
He said that China-India strategic partnership is rapidly growing in the direction set by both leaders.
"China will work with India to master the general course for the development of ties," Xi was quoted as saying by Xinhua.
He also extended his congratulations to Modi over India's upcoming signing of a memorandum of obligation to join the SCO, a key step for India to obtain membership of the organisation.
The Chinese president said China welcomes Prime Minister Modi to attend the G20 Summit in Hangzhou in September. He was also looking forward to visit India in October to attend the BRICS Leaders Meeting.