"We appreciate your hospitality and professionalism and your friendship", Trump told Lee, whose government is forking out some S$20 million (US$15 million) to host the summit.
A year ago the North carried out what was by far its most powerful nuclear test to date and launched a flurry of missiles - including two over Japan - while Trump threatened Pyongyang with "fire and fury" and Kim dubbed him a "mentally deranged USA dotard".
Asked by VOA News whether he would bring up North Korea's egregious human rights record, including its system of gulags for civilians deemed enemies of the state, and the unresolved fate of Japanese abducted by North Korean agents over the decades, Trump replied, "We're going to bring everything up".
The meeting between Kim and Trump will mark a turnaround of relations between the two leaders after a long-running exchange of furious threats and insults.
Chairman Kim yesterday held a meeting with Prime Minister Lee.
The jet carrying Kim landed at the airport Sunday afternoon amid huge security precautions on this city-state island.
After shaking hands with Singapore's foreign minister, Kim sped through the streets in a limousine, two large North Korean flags fluttering on the hood, surrounded by other black vehicles with tinted windows and bound for the luxurious and closely guarded St. Regis Hotel. -North Korean leaders' meeting.
"I am on my way to Singapore where we have a chance to achieve a truly wonderful result for North Korea and the World", Trump wrote in a pair of tweets.
He was joined in Singapore by Ambassador Sung Kim, the USA envoy to the Philippines; and Ambassador Michael McKinley, a career diplomat Pompeo recently tapped to be his senior adviser.
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Meanwhile, diplomats from the United States and North Korea met behind closed doors at The Ritz-Carlton hotel, in a bid to narrow their differences ahead of the Trump-Kim summit on Tuesday.
On Wednesday, the summit was declared an "Enhanced Security Special Event" by the Minister for Home Affairs under the Public Order Act.
It's unclear what Trump and Kim might decide Tuesday.
Trump was joined at the meeting with Lee by USA officials including Secretary of State Mike Pompeo, White House Chief of Staff John Kelly and National Security Adviser John Bolton.
The meeting was initially meant to rid North Korea of its nuclear weapons, but the talks have been portrayed by Trump in recent days more as a get-to-know-you session.
President says he will meet with North Korea in Singapore.
Trump's administration has insisted that CVID is a foremost requirement that Pyongyang must meet for lasting peace on the Korean peninsula.
Any nuclear deal will hinge on North Korea's willingness to allow unfettered outside inspections of the country's warheads and nuclear fuel, much of which is likely kept in a vast complex of underground facilities.
The summit has also raised hopes of progress towards a peace treaty to formally end the Korean War, the last festering legacy of the Cold War, after hostilities only stopped with an armistice. China and South Korea would have to sign off on any legal treaty. Progress could lead to a peace treaty and formally end a state of war on the Korean Peninsula, which has persisted for almost 70 years.
Gears Of War Pop! And Gears Tactics Coming To Mobile Phones
Cute, giant-headed versions of Marcus Fenix, Kait Diaz and more " Gears of War " characters will be in the upcoming mobile game. Gears POP! mashes Microsoft's popular franchise with toymaker Funko Pop's collectible figures in a rather unique combination.
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