The president thanked Kim for the release of the three Americans.
Relations with North Korea have undergone a total reversal since 2017.
White House national security adviser John Bolton said Sunday on CNN's "State of the Union" that North Korea's prospects are "unbelievably strong if they'll commit to denuclearization". "He convinced Pyongyang he would be able to move Washington". The only thing that will happen at this meeting is that Trump will undoubtably insult Un and all hell will break loose.
The dynamics shifted after Kim used his New Year's speech to propose talks with the South to reduce animosity.
Moon Jae-in, the president of South Korea, is pledging to boost cultural exchanges with his country's neighbors to the north. If the Shangri-La hotel is chosen for the Trump-Kim meeting, much of the security preparations might already be in place.
On Thursday, US Vice President Mike Pence praised Kim Jong Un for making moves toward peace, but expressed caution. Trump noted, "The true honor [of the situation] is going to be if we have a victory in getting rid of nuclear weapons". "The North Korean side is extremely pragmatically minded, conducts its own foreign policy course and understands well that the missile and nuclear program can be resumed upon any convenient opportunity", Lobov said. So I think this administration has been significantly and sufficiently tough on North Korea. Estimates suggest the value of North Korea's basic minerals - coal, copper, etc. - ranges from $6 to $10 trillion total, not counting the rare earth metals.
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President Trump said he would try his best to do so, said MFA. But North Korea for decades has been pushing a concept of "denuclearization" that bears no resemblance to the American definition.
It considers the U.S. a close partner, while North Korea maintains a fully functioning embassy in the city-state.
Moon may face credibility problems if it becomes clear that Kim won't give up his nukes easily.
But both Washington and Seoul - longtime treaty allies - cooperate closely and also confer with the North's larger neighbor China, which has a stake in the outcome.
Kang praised the upcoming meeting between Trump and Kim in Singapore as an "historic" opportunity, but added a few notes of skepticism as well.
Amid concerns that North Korea will demand the US withdraw its troops from neighbouring South Korea, Ms Kang emphasised that the US military presence there must be "a matter for the US-ROK alliance first and foremost", using an acronym for South Korea's official name, the Republic of Korea.
Pyongyang significantly diminished the scale of this year's edition of the annual contest among its tank units in what appears to be a sign of relaxing tensions on the Korean peninsula, a South Korean government source told local Yonhap news agency.