They also compared notes on global hot-spot issues such as the Korean Peninsula nuclear problem, and agreed to continue with their exchanges and coordination over the matter.
The Chinese leader also reaffirmed China's opposition to the U.S. deployment of the Terminal High Altitude Area Defense (THAAD) system in South Korea.
In his meeting with South Korean President Moon Jae-in, Xi urged Seoul to listen to China's major concerns and clear the hurdles in bilateral ties, referring to the former South Korean government's decision to let THAAD in.
He also said that he supports the new South Korean government's efforts to restart dialogue and contacts with the Democratic People's Republic of Korea.
China is committed to denuclearizing the Korean Peninsula and settling the issue via dialogue and consultation, he added.
SHAPING A MORE INCLUSIVE WORLD ECONOMY
While speaking at this year's G20 summit, the Chinese leader called on other member economies to further implement the agreements reached in Hangzhou last year.
He noted that further action is needed as "the global economy is still plagued by deep-seated problems and faces many uncertainties and destabilizing factors."
To build a more open world economy and realize a more inclusive global economic growth, Xi offered a set of proposals.
He suggested that the group of major economies support the multilateral trading regime and stay committed to openness and mutual benefit so as to increase the size of the global economic "pie."
Xi called on all sides to foster new sources of growth, adding that he believes promoting innovation and addressing the issue of development are part of the answers.
On boosting inclusiveness, the Chinese leader said the G20 members need to promote synergy between economic and social policies, address the mismatch between industrial upgrading and knowledge and skills, and ensure more equitable income distribution.
He urged the G20 members to step up efforts in supporting Africa's development, and carry out the initiative agreed at the Hangzhou summit on backing the industrialization of Africa and the least developed countries.
The Chinese president also stressed the need to improve global economic governance. He urged the G20 members to strengthen macroeconomic policy coordination and forestall risks in financial markets.
"Those who work alone, add; those who work together, multiply," he quoted a German proverb as saying.
"In this spirit, let us work together to promote interconnected growth for shared prosperity and build toward a global community with a shared future," added the president.