 "BRICS summit in Brazil: China invites Modi for APEC summit")
Xi and Modi met soon after their arrival at a summit of the BRICS group of emerging powers. Xi said the two countries should join hands in setting global rules and suggested he attend the November meeting of the 21-nation APEC in Beijing, as well as take part in Chinese-led regional initiatives.
India has never attended an APEC summit, and has long sought to become a member to help boost its economy.
Xi also called for speedy negotiations to settle disputes over the 4,000-km Himalayan border over which India and China went to war in 1962 and which have flared in recent years over allegations of cross-border incursions.
"Xi suggested the two sides manage, control and handle differences with a positive and forward-looking attitude and find fair, reasonable and mutually acceptable solutions to their border issues at an early date," Xinhua quoted him as saying.
Modi sought Chinese investment in Indian infrastructure projects which he suggested to Xi would help address the trade imbalance currently in Beijing's favour.
APEC includes Canada, Mexico, Russia and the United States and accounts for about 40 per cent of the world's population, 55 per cent of global gross domestic product and 44 per cent of world trade.
New Delhi's bid to become an APEC member has been stymied for two decades because its economy wasn't integrated into the global system and in later years because of a membership freeze.
The United States, the group's dominant nation, in recent months has faced calls to promote India's candidature to help balance the group on grounds that the world's 10th largest economy in nominal terms cannot be kept out.