"Prime Minister Lee and Chairman Kim discussed Singapore-DPRK relations, developments in the DPRK and regional developments, including the recent positive developments on the Korean Peninsula", the statement reads.
The world will be watching to see if US President Donald Trump can broker a deal to denuclearise the Korean Peninsula.
An editorial in Rodong Sinmun confirmed that Mr Kim had travelled to Singapore to meet Mr Trump and that "we will establish a new relationship to meet the changing demands of the new era".
Image Kim Yo Jong also enjoyed a walkabout in Singapore
They will first enter a one-on-one meeting with translators only, the first meeting ever between a US president and North Korea's leader - and Trump's first opportunity to gauge Kim's willingness to negotiate on dismantling his nuclear weapons program.
Excitement in the air" ahead of Kim meeting Trump doubles down on criticism of EU, Canada Merkel: "EU will retaliate against Trump tariffs MORE and other members of the USA delegation on Monday won't bring up North Korea's human rights record at a summit with the country's leader, NBC News reported.
The US wants North Korea to give up its nuclear weapons, but North Korea is widely expected to resist that and it is unclear what it might ask for in return. He went out of his way to be cordial during two summits with South Korean President Moon Jae-in in April and May.
Delegates were outlining specific goals for what Trump and Kim should try to accomplish, and multiple scenarios for how key issues could be resolved. China and South Korea would have to sign off on any legal treaty.
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"The entire world is watching the historic summit between (North Korea) and the United States of America, and thanks to your honest efforts. we were able to complete the preparations for the historic summit", Kim told Lee through an interpreter.
Dismantling a secret nuclear arsenal built up over decades would take several years and be extremely hard to check, they say.
The North Korean delegation is staying at the five-star St. Regis hotel where the lobby has a cream-colored marble floor, chandeliers and large art works on the walls. "I think things could work out very nicely".
Trump, speaking in Canada on Saturday, said any agreement at the summit would be "spur of the moment", underscoring the uncertain outcome of what he called a "mission of peace".
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North Korea has repeatedly expressed a commitment to the "denuclearisation of the Korean peninsula" - notably in a report by state agency KCNA on the eve of the summit - but the term is open to interpretation on both sides and it remains unclear what concessions Kim is prepared to offer.
Singapore is one of the few countries that have diplomatic relations with both the USA and North Korea. In my meetings with North Korea's foreign ministry, its officials have repeatedly emphasized that only a leader-to-leader dialogue could break the nuclear impasse.
SECURITY CONCERNS Many questions remain unanswered, however, including whether the North Koreans have robust enough communication systems to make sure no one panics and launches an attack, said Vipin Narang, an associate professor at the Massachusetts Institute of Technology's Security Studies Program.
Totalitarian North Korea's governing ideology of "Juche", which champions self-sufficiency, has brought little but decades of economic stagnation, widespread poverty and, at times, starvation.
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Trump has drawn frequent criticism for his friendly tone toward Russian Federation and Putin. "It wasn't us who left", he said. Trump was due to arrive in Singapore on Sunday ahead of a historic summit with North Korean leader Kim Jong Un .