It was Pompeo's first time talking about his secretive visit to North Korea, where he said he spent a "great deal of time" with Kim.
It said Chinese President Xi Jinping made the offer to North Korean leader Kim Jong-un when they met in Dalian on May 7-8.
Put it all together and you see a "deal" in which North Korea gives up missiles that can reach the US, gets rid of chemical and biological weapons, and perhaps limits some ability to manufacture new nuclear weapons. Tony Kim and Kim Hak-Song joined President Trump on the tarmac at roughly 3am after landing back in the US, they had been held in North Korea for 12 months each.
The Japanese side is demanding a meeting after the Trump-Kim talks partly because it seeks to quickly ascertain the content of Kim's remarks, which will serve as the basis of its decision whether to hold a Japan-North Korea summit meeting toward resolving the abduction issue.
An incremental North Korean approach to denuclearisation at a June 12 summit with President Donald Trump will not be acceptable to the US president or the people of South Korea, South Korea's special national security adviser said on Tuesday.
In the United States said that it would help the DPRK to solve its economic problems if the North Korean regime would renounce nuclear weapons.
With North Korea, however, there can be no trust. "But we are also very much interested in operationalizing the commitment as quickly as possible", Bolton said.
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Pressed in a separate interview on whether the US would seek regime change, Pompeo said "only time will tell how these negotiations will proceed". He claims to have shut down a nuclear research facility that already was on its last legs. "It means getting rid of the uranium enrichment and plutonium reprocessing capabilities", adding the process would also need to address North Korea's ballistic missiles.
"If we get denuclearization, of course, there will be sanctions relief, certainly".
Just two weeks ago, apartments in Dandong New District were selling for as little as 3,000 yuan per square meter, he said.
Bolton said in an interview with CNN's "State of the Union" that North Korea should not "look for economic aid from us".
On Monday, Abe reiterated Tokyo's willingness to hold face-to-face talks with Kim, following a Fuji TV report last week quoting a diplomatic source as saying that the North Korean leader was left wondering why Japan wouldn't talk to him "directly about the abductions".
The comments from Bolton and Pompeo come as Trump prepares to meet with Kim in June.