Trump said Tuesday after meeting Kim that he's feeling "really great".
Any nuclear deal will hinge on North Korea's willingness to allow unfettered outside inspections of the country's warheads and radioactive materials, much of which is likely kept in a vast complex of underground facilities. The North, many experts believe, stands on the brink of being able to target the entire USA mainland with its nuclear-armed missiles, and while there is deep skepticism that Kim will quickly give up those hard-won nukes, there is also some hope that diplomacy can replace the animosity between the US and the North.
The sudden change in schedule added to a dizzying few days for foreign policy for Trump, who shocked US allies over the weekend when he used a meeting of the Group of 7 industrialized economies in Canada to alienate America's closest friends in the West. Lashing out over trade practices, he lobbed insults at the G-7 host, Canadian Prime Minister Justin Trudeau.
Some questioned whether Kim would fully relinquish the weapons he may see as his only guarantee of survival. "I don't want to waste his time", Trump said.
But it's Kim's pursuit of nuclear weapons that gives his meeting with Trump such high stakes.
"If Trump can't negotiate a deal on milk with one of our closest allies, how is he going to get a deal on nuclear disarmament with one of our greatest foes?" tweeted Michael McFaul, ambassador to Russian Federation during the Barack Obama presidency.
Outside the Istana, the presidential palace where Mr Trump was due to meet Singaporean Prime Minister Lee Hsien Loong, well-wishers displayed American flags and a boy held up a sign reading: "I love President Trump!" Trump descended from Air Force One into the steamy Singapore night, greeting officials and declaring he felt "very good" before being whisked away to his hotel via a route lined with police and photo-snapping onlookers.
U.S. presidents and vice-presidents generally never fly on the same aircraft to guarantee that one of them survives in the event of a disaster, and the move appeared created to ensure the preservation of the Kim dynasty, which has ruled the North for three generations.
White House scales back expectations for Trump-Kim summit
Labor leader Bill Shorten said not many people would have predicted the summit would take place, so he was pleased it occurred. According to the AP, administration officials are hoping the talks lead to the denuclearization of the Korean peninsula.
US, North Korean Leaders Head for Singapore Summit Site
He said he expected the Trump-Kim summit to "go fairly well" but added, "people should not expect too much for the first time". Kim several times whether he would give up his nuclear weapons. "And it's my honour and we will have a terrific relationship".
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Microsoft kicked off with a new game in the long-running and beloved science-fiction shooter series Halo, called Halo Infinite. And of those 10 seconds, we don't really see anything aside from a vast landscape - but boy does it look impressive!
The consensus for a second summit was also reached during multiple working level meetings between the two sides, including those between US State Department's top Korea expert, Mr Sung Kim, and North Korea's Vice-Foreign Minister Choe Son Hui, Joongang Ilbo said.
Some images of Trump and Kim were even more lifelike.
Discussions would focus on "the issue of building a permanent and durable peace-keeping mechanism on the Korean Peninsula, the issue of realising the denuclearisation of the Korean peninsula and other issues of mutual concern", KCNA said.
With his Singapore summit, Trump is looking to temporarily escape his flaring personal conflicts with key US allies over trade as well as domestic pressure like the swirling Russian Federation probe.
As well as seeking foreign investment, Pyongyang is wary of China's intentions, having previously expressed anger toward Beijing for supporting United Nations' sanctions demanded by the US. Trump accused the G-7 of unfair trade practices, and singled out Trudeau in particular in a tweet for being allegedly "very dishonest & weak". Kim and Lee also met on Sunday. "Our government will continue to work closely with the worldwide community and maintain sustained efforts to realize the denuclearization of the Korean Peninsula and to establish permanent peace".
"[President Trump] is not going to permit any show of weakness on the trip to negotiate with North Korea", Kudlow said on CNN's State of the Union.
"Why would Kim. believe any commitments President Trump makes when he arbitrarily tears up an agreement with which the other party is complying?" said Antony Blinken, who was deputy secretary of state under Barack Obama. One bar offered a special "Bromance" cocktail, at least one street stall hawked a noodle dish in honor of the summit, and cardboard fans and water bottles showed stylized likenesses of Trump and Kim. The Standard & Poor's 500 index rose 0.3 percent to 2,779.03.
Seeking to tamp down expectations, Trump has described the summit as more of a get-to-know-you type of session, and the start of a process leading to ultimate denuclearization. "The Trump-Kim summit is the massive event that has a far-reaching regional implication". They are expected to discuss ways to end North Korea's nuclear program, in exchange for a bounty of riches promised by Trump.