Xi, also Chinese President and chairman of the Central Military Commission, made the remarks in a written instruction on an article by Xinhua News Agency about new forms of relevant misconduct.
Xi said he had met with May twice, at the G20 Hangzhou Summit in 2016 and G20 Hamburg Summit last year, adding that he had good discussions with her during the meetings.
Xi made the remarks while meeting with his Tajik counterpart Emomali Rahmon, who is in the coastal Chinese city of Qingdao to attend the 18th Shanghai Cooperation Organization Summit.
Xi also said the basic healthcare system would be a strong step toward building a healthy China.
Xi said that both China and the US should shoulder increasing responsibility for world peace and stability.
Xi said he hoped the representatives make full use of their own advantages, focus on the country's major strategic plans, do thorough research, and raise valuable proposals.
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Wuyuan County in East China's Jiangxi province, well-known as China's most beautiful countryside, strides to explore innovative modes to add new energy to its tourism industry development.
Xi'an, capital of Shaanxi province and home of the Terracotta Army, has rolled out a spate of tough measures for cleaner air in a three-year action plan, the city government said Thursday.
Xi also suggested the two sides attach importance to ecological protection and promote the sustainable development of China-Laos community of shared future.
Xi made the remarks when meeting with his South African counterpart, Cyril Ramaphosa, on the sidelines of a summit of the Group of 20 (G20) major economies held in the Japanese city of Osaka.