North Korea's state news agency described the content of the letter from US President Donald as "excellent".
At a time when "serious and complicated changes are happening in international and regional situations", KCNA said the two leaders agreed to "promote close strategic communication" and develop their "common interests".
Xi is the first Chinese president to visit North Korea in 14 years after relations between the Cold War era allies deteriorated over Pyongyang's nuclear provocations and Beijing's subsequent backing of UN sanctions.
US President Donald Trump statement comes days after he said he received a new "very warm" and "beautiful" letter from North Korean leader Kim Jong-un.
North Korean leader Kim Jong-un's half brother Kim Jong-nam was a spy for American intelligence, the Wall Street Journal reported, saying he was in Malaysia to meet his CIA handler in February 2017.
As Japan looks to ensure security in the region, it could play a vital role in negotiating between Iran and the US.
The collapse of the Hanoi summit shocked most of South Korean officialdom as they expected a modest agreement with archrival North Korea. Will the chance of Korean peace simply disappear?
"China can and should have a cooperative relationship with the rest of the region," US Acting Defence Secretary Patrick Shanahan said at the Shangri-La Dialogue in Singapore.
North Korea's special envoy to the US Kim Hyok-chol "was investigated and executed at Mirim Airport with four foreign ministry officials in March," an unnamed North Korea source says, according to the Chosun Ilbo.
US President Donald Trump met with Japan's Emperor Akihito who took the Chrysanthemum Throne only three weeks ago, after his father stepped down in the first abdication in two centuries.
North Korea's UN Ambassador Kim Song held a rare news conference at the United Nations in New York to demand the immediate return of the cargo ship seized by the US earlier this month.
In a statement, the North’s foreign ministry said it rejected UN Security Council resolutions against it, the violations of which the US had cited in impounding the vessel, as a violation of its sovereignty.
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