Referring to Mr Xi, Mr Trump said: "I do believe there's a solution to that, as do you".
Xi hosted Trump at the imposing Great Hall of the People, next to Tiananmen Square, for the main event of the U.S. president's five-nation tour of Asia.
"The U.S. and China are countries with important influence in the Asia-Pacific", Xi remarked.
"What I know is that the two sides also discussed the anti-terrorism issue and the upholding of peace and stability in South Asia and reached a consensus in this respect", Chinese Foreign Ministry spokesperson Hua Chunying told reporters, after the two leaders held wide-ranging talks at the Great Hall of the People in Beijing and signed business deals with a value estimated at $250 billion, according to officials.
Xi responded that Arabella's Chinese deserved an "A-plus".
"We enjoyed every minute of it with your attractive wife and Melania together".
"But we'll make it fair and it'll be tremendous to both of us", he said.
A sophisticated system has been built to deny online users within China access to blocked content. Neither leader will accept a nuclear-armed North Korea, Reuters quoted the secretary as saying. The United States and China had clashed on issues from cyber security to trade in the final years of the Obama administration, though they had struck a landmark climate deal during Obama's 2014 visit to Beijing that served as a prelude to the Paris climate accord.
Trump, who has suggested he would like to stage a military parade in Washington over the July 4 weekend, seemed impressed.
Since Trump took office in January, the two leaders have maintained close contact. He arrived Wednesday afternoon for a sunset tour of the Forbidden City, the ornate Chinese imperial palace stretching from the Ming to Qing dynasties, before taking in a performance of the Peking Opera.
History was not expected to be on the list of talking points - at least until Trump mentioned he had heard that Chinese history went back 5,000 years and Xi stepped in to tell him more, according to state broadcaster CCTV.
On Tuesday night, the president received more bad news, in the form of a Democratic rout in the off-year elections across the nation.
Trade will be another topic of discussion. "This way we will enable people across the world to benefit more from China-US relations", Xi said.
He says, "in the grand scheme of a $3- to 500 billion trade deficit, the things that have been achieved are pretty small".
"We have 3,000 years with a written language", Xi said through a translator as they moseyed through the Forbidden City's vast cobblestoned courtyards.
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