Some observers insist that it's the beginning of the complete denuclearisation of North Korea.
In a September 2017 speech in front of the United Nations, President Trump referred to Kim as "Rocket Man" and threatened to "totally destroy North Korea", which earned a rare rebuke directly from Kim describing the president as a "frightened dog" and "mentally deranged USA dotard".
North Korea has previously said it was willing to discuss denuclearization, but experts have expressed concern over the varying definitions of the term held by Washington and Pyongyang.
Still, the sense of anticipation was great in Singapore, with people lining spotless streets holding cellphones high as Trump headed to meet Singapore's Prime Minister Lee Hsien Loong.
Trump has said he wants to strike a deal to get the North to give up its nuclear weapons.
"I told them today, take your time".
There's excitement surrounding the summit but also skepticism that the North will relinquish a nuclear weapons program it spent decades building despite crushing sanctions.
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Alluding to the North's concerns that giving up its nuclear weapons could surrender its primary deterrent to forced regime change, Pompeo told reporters that the USA was prepared to take action to provide North Korea with "sufficient certainty" that denuclearization "is not something that ends badly for them".
Arriving at the Prime Minister's office after 1900 local time, Kim shook hands with Lee and his staff then sat down to begin talks in front of the cameras before the press was ushered out a few minutes later.
"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.
"While a summit between Trump and Kim would be historic, it is unlikely to be decisive".
Still, other analysts said Mr. Kim was as determined as Mr. Trump to make this meeting a success.
Experts believe the North is close to being able to target the entire USA mainland with its nuclear-armed missiles, and while there's deep skepticism that Kim will quickly give up those hard-won nukes, there's also some hope that diplomacy can replace the animosity between the US and the North. Her earlier trip to South Korea in January triggered a media frenzy. Lee has said the summit would cost Singapore about S$20 million ($15 million), more than half of which would go on security. It heralded the summit as part of a "changed era".
The discussions between the United States and North Korea are ongoing and have moved more quickly than expected.
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