Moon praised the two leaders for "being so brave" to hold the meeting and says, "I hope President Trump will go down in history as the president who achieves peace on Korean Peninsula". I appreciate that. It's just an honour to be with you and it was an honour that you asked me to step over that line and I was proud to step over the line. "This was a very legendary, historic day". Grisham will keep her current job too.
The meeting at the truce city of Panmunjom also represented a striking acknowledgement by Trump of the authoritarian Kim's legitimacy over a nation with an abysmal human rights record.
Speaking about their relationship, he said: "If it wasn't for that good relationship, we would not have been able to make this sudden meeting possible".
"In the last few hours we saw in Korea a good example of the culture of encounter".
But Trump likes to be unpredictable and has made clear repeatedly in recent days that he is eager to restart negotiations aimed at persuading North Korea to eliminate its nuclear arsenal.
Kim hailed the moment, saying of Trump, "I believe this is an expression of his willingness to eliminate all the unfortunate past and open a new future". But that's OK. A handshake means a lot.
Calling the Panmunjom meeting a "historic moment", Trump said he had developed a great relationship with Kim.
But the second summit in Hanoi broke down after the two sides failed to narrow differences between a US demand for North Korea to give up its nuclear weapons and a North Korean demand for sanctions relief.
"I am convinced our relationship will enable us to overcome barriers standing in the way", said Kim, adding that the close relationship of the two leaders had enabled a meeting to happen "just overnight". "Foreign policy isn't reality television it's reality".
Sanders said, "The concern here is his incredible inconsistencies".
Following the meeting at the DMZ, the two leaders walked into South Korea. He suggested that Mnuchin would head the USA team.
Others saw it as more optics than substance.
The two leaders were seen shaking hands with Mr Kim applauding during their meeting.
"Great. We had a summit to reset the working level talks", he wrote.
Trump later said he had invited Kim to the US.
"It might be an important step or it might not", he said. "However, the fate of the region, and quite possibly the world, can not be left to President Trump and Chairman Kim".
North Korea called it an "interesting suggestion" but made no immediate commitment. The US president repeatedly cautioned that the logistics were complicated, and he said that any meeting would be little more than a photo op.
He was accompanied on the visit by South Korean President Moon Jae-in.
The two sides remain apart on their positions towards the timing and process of denuclearization.
He complained, however, that from the "Fake News media" reports, you wouldn't be able to tell that much has changed.
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