Despite the belligerent message carried by the North Korean news agency, US Secretary of State Rex Tillerson confirmed on Saturday that the administration is in direct contact with Pyongyang.
"We have a couple, three channels open to Pyongyang". "We're not in a dark situation, a blackout", Tillerson said.
"We have lines of communication with Pyongyang".
"We can talk to them". "They're a little overheated right now, and I think we need to calm them down first".
"We wish the people of China a joyous celebration, and peace and prosperity over the coming year", he added.
The measures were in accordance with United Nations sanctions that were approved earlier in September after North Korea detonated its sixth and most powerful nuclear bomb - a test that triggered an natural disaster felt across the border in China.
Trump had earlier also referred to the North Korean leader as "Rocket Man".
This isn't a new phenomenon on the North Korean side, as the isolated state has been prone to making hyperbolic and threatening statements toward the USA and its regional allies, South Korea and Japan, for years.
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As NPR's Bill Chappell noted last week, the brinksmanship has even taken on an increasingly personal tone of late, with Trump labeling Kim "rocket man" and Kim in turn opting to slap Trump with the more ornate "mentally deranged US dotard".
In August, Mattis stressed the importance of the nation's diplomatic efforts, particularly through the United Nations, but in September he warned the U.S. would meet threats from North Korea with "a massive military response".
Rex Tillerson, America's top diplomat, disclosed at the weekend the United States was in "direct contact" with Pyongyang over its nuclear and missile programmes.
"Obviously it would help if North Korea would stop firing off missiles".
Gabriel also urged the USA to have dialogue with Iran over a nuclear accord which Trump appears on the verge of scrapping, adding that such a move "would undermine the credibility of the offer to North Korea".
Since President Donald Trump took office in January, the USA has restored a diplomatic back-channel between the State Department and North Korea's mission at the United Nations.
Trump has previously kept the door open to possible talks with North Korea. "That'd calm things down a lot".
North Korea responded to the insult at the United Nations in kind, with Kim saying, "I will surely and definitely tame the mentally deranged USA dotard with fire".
It's not unusual for Trump to undercut his own officials on Twitter, but this was extreme even by his standards.
For its part, Beijing has insisted that the sanctions must be coupled with efforts to organise peace talks, but Trump and Kim have traded increasingly personal insults that have raised fears that the crisis could spark a conflict.