"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.
NORTH KOREA TALKS: U.S. and North Korean officials were preparing for a meeting Tuesday between Trump and Kim aimed at settling the standoff over the North's nuclear arsenal.
President Donald Trump plans to depart early from his unprecedented summit with Kim Jong Un, the White House said today, declaring that nuclear talks with North Korea have moved "more quickly than expected".
Two additional North Korean planes were also tracked making their way from Pyongyang, thought to be carrying his entourage, food and other supplies for Kim. For the North, Kim Jong Un has already won a huge propaganda bonus by merely having the summit and sitting down as an equal with the USA president, an accomplishment his father and grandfather sought but could never realize.
Trump and Singapore Prime Minister Lee Hsien Loong were meeting over lunch on Monday.
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Singapore has maintained diplomatic relations with North Korea for more than 40 years.
In this image from a video, a Singapore police coast guard vessel patrols the waters off Sentosa.
Still, Trump's team has not always been on the same page, with Secretary of State Mike Pompeo - who has been leading the administration's efforts - more supportive, while the hawkish National Security Adviser John Bolton has been more skeptical.
After their spending about an hour together on their own, Trump and Kim are expected to continue their talks with the full delegations from both of their countries. She emerged as an influential figure in Pyongyang's opaque leadership in February, when she led a North Korean delegation to the Winter Olympics in South Korea.
The previous USA stance, said Bruce Klingner of the Heritage Foundation, was that "we don't deploy a president to negotiate a treaty, we deploy a president to sign a treaty where we know where every piece of punctuation is on that piece of paper".
Trump had been scheduled to fly back to Washington on Wednesday morning after spending Tuesday with the North Korean leader in Singapore.
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Trump "is not going to permit any show of weakness on the trip to negotiate with North Korea, nor should he", Kudlow said. It is there, in a building designed by British architect Norman Foster, that Mr Trump and Mr Kim are due to meet, starting at 9am.
One benefit of Singapore from the North Korean point of view is that there will probably not be any anti-North Korea protests during Kim's stay. While North Korea has proved it has been able to create a successful intercontinental ballistic missile, there are questions about the air worthiness of its aircraft for anything other than short journeys. But many say this is unlikely, because the weapons help to guarantee the survival of Kim's government.
Kim told Lee: "The entire world is watching the historic summit between the DPRK and the United States of America, and thanks to your honest efforts ... we were able to complete the preparation for the historic summit". North Korea could also potentially be brought into new trans-Asian trade routes to challenge Beijing's One Belt, One Road Initiative.
Meanwhile, Tehran has advised North Korea to be wary of negotiating with Trump following his withdrawal from Iran's 2015 nuclear agreement with world powers.
"North Korea's increased dialogue with other countries is a positive step, but before the world gets too excited they should remember that Kim Jong Un still presides over perhaps the most repressive system in the world", he said.
With a handshake scheduled for 9 a.m., Trump and Kim and their translators will meet first in a session that could stretch up to two hours before they allow their respective advisers to join them, said the US official, who was not authorized to speak publicly about internal deliberations and insisted on anonymity.
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But a government official said they had just agreed to open talks on the basis of the rebel amendment. She insisted: "We must think about the message Parliament will send to the European Union this week".
This photo, taken from the Korean Central News Agency on June 11, 2018, shows North Korean leader Kim Jong-un inspecting an honor guard in Pyongyang before leaving for Singapore the previous day. Trump has offered few details of what a framework for that process would look like.