After criticising Pompeo, Kwon further added, that if Pompeo were to be involved in further talks, "the table will be lousy once again and the talks will become entangled".
It was not clear how Kim might travel to Russian Federation, which shares a border with North Korea. Secretary of State Michael R Pompeo from denuclearisation talks with the United States, state media reported. The following month Washington imposed a new round of sanctions on Pyongyang.
But he oversaw the testing of an unidentified tactical weapon last November.
It ended, unlike their first meeting in Singapore previous year, with no joint statement or agreement.
North Korean leader Kim Jong-Un is to meet Russian President Vladimir Putin for the first time.
"I don't think there's any reason to come out and raise or condemn or make hay of this weapons test", he said when asked whether the administration should respond publicly.
As the diplomacy stalls, there have been fresh reports of new activity at a North Korean missile research centre and long-range rocket site where Pyongyang is believed to build missiles targeting the USA mainland.
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The latest launch comes after he visited the North Korean air force on Tuesday, inspecting a military drill and expressing "great satisfaction" at their combat readiness.
"Pyongyang can not conduct a nuclear or long-range missile launch at this point unless it wants to totally shatter what remains of the US-North talks", he continued.
Melissa Hanham, a non-proliferation expert and director of the Datayo Project at the One Earth Future Foundation, said the North Korean weapon could be anything from an anti-tank weapon to a cruise missile.
The only description of the weapon itself in the Rodong Sinmun report was that its "design indexes" had "advantages ... appreciated for the peculiar mode of guiding flight", indicating that it was outfitted with a type of guidance system.
Pompeo is "talking nonsense" by trying to finish working-level negotiations between North Korea and the United States by the end of the year, "which subjects him to public ridicule", the statement said.
In testimony to a Senate subcommittee last week, Pompeo, who flew to Pyongyang four times previous year, was asked if he would agree with the characterisation of Kim as a "tyrant". The State Department did not immediately return Newsweek's request for comment.
His office said it convened a national security council session Thursday to discuss how to facilitate inter-Korean dialogue and denuclearization talks after the test. The Pentagon also said it was aware but had no information to provide at this point.
The presidential office in Seoul said it had no comment, AFP said.
An official of the Joint Chiefs of Staff revealed the assessment on Friday during a Defense Ministry press briefing, saying the weapon does not appear to be a ballistic missile. The U.S.is refusing to ease major sanctions until North Korea completely and verifiably dismantles its nuclear weapons and long-range ballistic missiles while the North wants significant sanctions to be lifted before the process is completed. A South Korean government source with military knowledge told CNN that weapon was likely a piece of long-range artillery "likely to be a multiple rocket launcher".