Modi flew in here from Kazakhstan, which was his second stop after Uzbekistan in his six-nation week-long tour.
He will first attend the summit of five-nation BRICS -- Brazil, Russia, India, China and South Africa -- which is expected to be dominated by discussions on enhancing cooperation in the economic area.
With the BRICS Development Bank already set up, the summit could also look at the possibility of starting trade and credit facility in local currency.
Besides Modi and Xi, the BRICS Summit is being attended by Russian President Vladimir Putin, Brazilian President Dilma Rousseff and South African President Jacob Zuma.
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"I expect positive outcomes in economic cooperation and cultural ties among the BRICS nations. The (BRICS) Summit in 2014 was productive and I am sure we will build on the ground covered during the last Summit," Modi had said in a statement prior to his departure from Delhi on Monday.
He had also said that he will be meeting the leaders of BRICS nations individually and will be a part of the various interactions of BRICS leaders with captains of industry and leaders of other invited countries.
An announcement with regard to India's membership of the six-nation grouping of China, Russia, Kazakhstan, Kyrgyzstan, Uzbekistan and Tajikistan is expected during the SCO summit on July 9-10.
A top Russian official yesterday said the process of India's membership will be completed by next year, along with that of Pakistan, to make it an eight-member body.
India was made an observer in 2005 and it applied for membership last year. Pakistan also is an observer and is likely to be made a member.
On the sidelines of the SCO Summit, Modi and Pakistan Prime Minister Nawaz Sharif are expected to have a meeting to discuss the bilateral relations.