"We should properly handle and manage sensitive issues to promote the healthy and stable development of sino-US relationship from a new start," Xi told Secretary of State Rex Tillerson here.
Cooperation is the "only correct" choice for both the countries, Xi said apparently referring to anti-China rhetoric by US President Donald Trump.
Trump had branded China a currency manipulator stealing American jobs and also threatened to impose 45 per cent tariffs on Chinese goods.
"North Korea is behaving very badly. They have been playing the United States for years. China has done little to help," Trump tweeted.
More From This Section
However, Tillerson yesterday held lengthy round of "frank and candid" talks with Chinese Foreign Minister Wang Yi.
After talks, Tillerson said the US would work with China to deal with threats posed by North Korea, which is also a close ally of Beijing.
Tillerson visited South Korea on Friday.
During his visit to South Korea, Tillerson had cautioned North Korea that all options are on the table to deal with Pyongyang's provocative nuclear and missile programmes.
He suggested that the two countries increase strategic trust and mutual understanding, review bilateral ties from long-term and strategic perspectives and expand fields of cooperation for win-win outcomes, state-run Xinhua news agency reported.
The two countries should also enhance coordination on regional hotspot issues, respect each other's core interests and major concerns and encourage friendly exchanges, Xi said as he invited Trump to China.
Responding to Xi's invitation, Tillerson said Trump placed a "very high value on the communications that have already occurred" between the two presidents.
"We know that through further dialogue we will achieve a greater understanding that will lead to a strengthening of the ties between China and the US, and set the tone for our future relationship of cooperation," he said.
Trump and Xi are due to meet in Florida next month.