In an apparent response to Trump's tweet, a statement issued by North Korea's official KCNA news agency claimed the president is "driving the situation on the Korean peninsula to the brink of a nuclear war".
North Korean leader Kim Jong-Un responded by threatening, if attacked, to strike targets in or around Guam in the western Pacific.
Several Twitter users have over the last 24 hours reported Trump's tweet, which threatened violence against North Korea.
The warm words exchanged between Xi and Trump Friday night in the USA masked underlying tensions between Beijing and Washington over how to deal with the errant regime in Pyongyang.
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The comments came after Trump unleashed a slew of fresh threats against North Korea on Friday, declaring the USA military "locked and loaded".
Trump said he would consider negotiations with North Korea and declined to discuss the possibility of a preemptive strike against Pyongyang.
"Hopefully it will all work out", he told reporters in Bedminster, New Jersey.
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In the past week Donald Trump has retweeted his threats to rain down fire and fury, boasted about the readiness of his nuclear army and told a nation his "military solutions" were "fully in place, locked and loaded, should North Korea act unwisely". The U.S. hasn't taken any public steps to prepare for hostilities such as evacuating Americans from Seoul, which is within range of North Korean artillery, or moving ships, aircraft or troops into position for an imminent response.
"The president's rhetoric could be aimed at China, but largely it is aimed at North Korea, trying to deter", Roehrig said.
"We just didn't do it in public", she said.
Trump also reiterated their mutual commitment to denuclearisation of the Korean Peninsula, it added.
Britain won't back Donald Trump on military strike
Australian Prime Minister Malcolm Turnbull said on Friday his government would back the U.S. if North Korea attacked. China's state media said Xi told Trump the North Korean nuclear issue required a peaceful resolution through talks.
President Donald Trump is seeking continued help from China's president in addressing the threat posed by North Korea's nuclear developments. For one, they didn't want to put somebody in a corner.
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