US President Donald Trump and North Korean leader Kim Jong-un had a dinner date in Hanoi on Wednesday, at the start of a two-day summit.
There has been little progress on the denuclearisation since the first Trump-Kim summit in Singapore last year.
Both the leaders sat side by side at a round-table along with their respective aides. From the US side, Secretary of State Mike Pompeo and White House Chief of Staff Mick Mulvaney were present.
Kim was accompanied by Foreign Minister Ri Yong-ho and regime's senior official Kim Yong Chol.
Trump said he looked forward to a "very successful" summit with Kim and that "our relationship is a very special".
"It's an honour to be with Chairman Kim. It's an honour to be together in Vietnam. It's great to be with you, we had a very successful first summit and I hope the second summit will be equal or greater than the first," Trump said.
Denying that he was "walking back" on denuclearisation, Trump said he looked forward to helping Kim achieve a tremendous economic future for his country.
On a declaration on formal end to the Korean War, Trump said: "We'll see."
The North Korean leader said they would "have a very interesting dialogue" and hoped the Hanoi summit delivers "an outcome welcome by everyone". He also alluded to the slow progress of negotiations, saying "it's been a period that required a lot of patience and effort". We "have been able to overcome obstacles," Kim added.
Kim said the "outside world" had "misunderstood" the US-North Korean relationship in the period after the Singapore summit and added we shared a "very interesting conversation" for 30 minutes upon meeting on Wednesday.
Praising the summit host country, Trump tweeted: "Vietnam is thriving like few places on earth. North Korea would be the same, and very quickly, if it would denuclearise." "The potential is awesome," he added.
Before meeting Kim, the US leader held talks with Vietnam's President, Prime Minister and other politicians.
The two leaders will attend a series of meetings together on Thursday, but their exact agenda is unknown.
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