The North Korean leader affirmed his firm belief that "the strong will, honest efforts and unique approach" the two have "aimed at opening up a new future between the DPRK and the US will surely come to fruition".
Pompeo said his discussions in Pyongyang last week had been productive, although he left without a North Korean agreement to take specific steps toward dismantling its nuclear weapons program.
"We were ready", the official said.
The president's comments on China appeared to reflect concern that US imposition of punitive tariffs on Chinese imports last week could make China less cooperative in pressuring the North over its nuclear and missile programs.
Secretary of State Mike Pompeo was in North Korea last week and took along a copy of the British singer's CD with the "Rocket Man" song that Trump had signed, but Pompeo did not meet with Kim this time around so he brought the gifts back to the president.
"The US is fatally mistaken if it went to the extent of regarding that the [Democratic People's Republic of Korea] would be compelled to accept, out of its patience, the demands reflecting its gangster-like mindset", Pyongyang cautioned.
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Trump's comments came just hours after North Korean officials failed to show up at a planned meeting Thursday with their United States counterparts to discuss the repatriation of the remains of American soldiers killed in the Korean war.
Adam Mount, an analyst at the Federation of American Scientists who focuses on USA nuclear strategy and North Korea, said in a tweet that Kim "blows off Pompeo in Pyongyang, has his team stand up US negotiators in the DMZ, but still delights Trump with a vague note".
Trump met with Kim in Singapore on June 12-the first meeting between leaders of the two countries. Recent reports suggest that the North has continued to expand infrastructure at nuclear and missile sites and that USA intelligence assesses that the North does not intend to fully denuclearize. The repatriation under discussion now would be the first since the work of United States military experts and North Korean workers from 1996 to 2005 who recovered remains believed to be those of more than 220 USA soldiers.
North Korean officials have failed to turn up for talks with a United States team on the repatriation of the remains of American soldiers killed in the Korean war.
The U.S. accused China and Russian Federation of keeping oil sales to North Korea, according to the report that AFP has seen. About 100 wooden transport cases were sent to the DMZ in recent weeks to prepare for receiving USA troop remains.
Pentagon officials said the request for general-level military negotiations was unexpected.