Speaking on the topic 'India and China in the 21st century world', Krishna called on Beijing to review its policies on UN reforms to "welcome" its neighbour to the core group of the world body.
Krishna said, "Indeed, even on the complex issue of UN reforms, it is time for China to review previously held positions and welcome the presence of in the Security Council of a nation with which it has much in common."
He further said the interests of India and China converged on several issues, including climate change and world trade.
"The two nations could boost each other through active cooperation," he said.
China has been saying that it supports India's aspirations to play an important role at the UN, but wants an overall reform of the world body.
Krishna, who is on his four-day visit to China, is expected to take up the issue during his talks with the Chinese Foreign Minister, Yang Jiechi and Premier Wen Jiabao on Apr 7.