Kim, who at 34 is almost half Trump's age, will get a concentrated blast of what friends and foes of Trump have experienced since he became president: a volatile, unpredictable leader who can be at turns friendly or tough, or both at the same time.
"I am totally prepared to walk away", he said.
Trump said he had talked with the North's envoy on the matter.
The U.S. wants to see the complete, verifiable and irreversible dismantlement of the North's weapons of mass destruction programs. "The prime minister told me that will happen", Mr Trump said. "It's about attitude, it's about willingness to get things done".
Trump may soon to be the first sitting US president to meet with a North Korean leader, with the upcoming summit in Singapore. He said the talks would start a process to bring about a resolution to the nuclear issue.
"I don't think I have to prepare very much". "I'd love to say it could happen in one deal, maybe it can", he said. "Nothing other than we look forward to seeing you and we look forward to the summit and hopefully things will work out".
Trump and Abe so far seem to have forged a sort of friendship, but even that bonhomie was revealed to be limited at their last meeting. "If they don't denuclearize, that will not be acceptable", he told reporters shortly after Abe arrived at theWhite House. "And we can not take sanctions off". "I'm confident we will do our best as hosts. If you hear me saying we are going to use maximum pressure, you know the negotiation did not do well, frankly".
Trump signaled that a grand bargain to reverse decades of enmity is not on the table for his unprecedented meeting Tuesday in Singapore with Kim, but sounded upbeat as he described the North Korean leader as honest about remaking the future for his impoverished country. The 1950-53 Korean War ended in an armistice, leaving the two sides technically at war.
"We would certainly like to see normalization, yes, " Trump said following two hours of meetings with visiting Japanese Prime Minister Shinzo Abe.
Pompeo said Trump was hopeful, but he is also going into the summit with his eyes wide open. They've been preparing for a long time, also.
Administration officials indicated that Trump actually was putting in preparation time.
"Well, Kim Jong Un got back on his hands and knees and begged for it, which is exactly the position you want to put him in", Giuliani said.
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His negotiating skills as president have had mixed success: his attempt to negotiate a healthcare deal with lawmakers fell apart previous year, but then he was able to get tax-cut bill through Congress. "This has already driven us to a place we'd not been able to achieve". Past administrations have also used a combination of sanctions and diplomacy to seek denuclearization, but the results failed to endure.
The secretary of state is the most senior USA official to have met the North Korean leader and a key figure in preparations for next week's historic summit.
"The fact was no USA president wanted to do this, and for good reason", he said.
But they have disappeared in recent years as United Nations sanctions tightened around Pyongyang, and Singapore has been among the countries that have dutifully implemented resolutions to cut trade ties, ban transactions with North Korean banks and cancel the work passes of its citizens.
But before tackling the thorny trade issue, Trump expressed unbridled optimism about his June 12 tete-a-tete with Kim in Singapore.
Although North Korea has admitted to 13 kidnappings, the real figure is thought to be higher than that.
Mr Trump said North Korea had to give up its nuclear weapons and the United States could add more sanctions if necessary.
"President Trump is hopeful".
North Korea has rejected giving up its arsenal unilaterally and defends its nuclear and missile programs as a deterrent against what it sees as US aggression. The Japanese leader wanted to make sure that Trump's efforts to negotiate an agreement don't harm Japan's interests.
The U.S. Secretary of State also revealed he will visit Seoul next Wednesday - the day after the summit - to discuss the outcome of the Kim-Trump meeting with key officials from South Korea and Japan.