Asked about the possibility of a liaison office - below the level of an embassy - in between talks sessions on the second day of the Hanoi summit, Kim told reporters: "I think it is something that is worth welcoming".
So here's a bit of history made at President Donald Trump's summit with Kim Jong Un: for what is nearly certainly the first time, the North Korean leader actually answered an impromptu question from an American reporter.
After their first summit, where Trump and Kim signed a joint statement agreeing to work toward a denuclearized Korean Peninsula, the president prematurely declared victory, tweeting that "There is no longer a Nuclear Threat from North Korea". Speaking through an interpreter, Kim said he is "confident of achieving the great results that everyone will welcome".
"So everybody in America and the world should pray for a good outcome".
North Korea has taken steps to dismantle a rocket engine testing site and blow up a tunnel at a nuclear testing site.
Trump, in a news conference after the abrupt end to the talks, said the breakdown occurred over North Korea's insistence that all punishing sanctions the USA had imposed on North Korea be lifted without Pyongyang committing to eliminate its entire nuclear arsenal.
Just after their historic first meeting in Singapore a year ago, Trump described Kim as "very talented". "Relationship very good, let's see what happens!" the post said.
"I just want to say: I have great respect for Chairman Kim, and I have great respect for his country", Trump told reporters as he sat at a table across from Kim in Hanoi. "It has such potential".
"I'm sure that all of them will be watching the moment that we are sitting together side by side as if they are watching a fantasy movie".
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He says the threat of more tornadoes will continue for several hours as the storm system races toward the Atlantic seaboard. Large-scale search and rescue operations have been launched in Lee County, where officials reported multiple injuries.
Skeptics say such agreements would leave in place a significant portion of North Korea's nuclear-tipped missiles while robbing the United States of its negotiating leverage going forward.
There could be a declaration on formally ending the 1950-53 Korean War, and more progress on the repatriation of the remains of U.S. soldiers killed in that conflict.
After, Trump plans a news conference at 3:50 p.m. (0850 GMT).
South Korean President Moon Jae-in delivers a speech during a ceremony celebrating the 100th anniversary of the March First Independence Movement against Japanese colonial rule, in central Seoul, South Korea, March 1, 2019.
The June meeting was the first between a sitting USA president and a North Korean leader. "Even a minute is precious", he told reporters.
"There's a warmth that we have and I hope that stays, I think it will". There were also huge traffic jams in the already congested streets.
"North Korean leader Kim Jong-un mentioned how they overcame all the obstacles and met again after 261 days in Hanoi". As flags from the three countries fluttered in a chilly drizzle, dozens of cameras flashed and some citizens screamed and used their mobile phones to capture Kim's arrival.
Trump, responding to that, said: "That might be the best answer you've ever heard". The two leaders' interpreters were the only others privy to their conversation.
Evans Revere, a former US negotiator with North Korea, said Trump was under pressure given his domestic problems and " Kim may be tempted to push Trump even harder for concessions, knowing how much the president wants and needs that testing pause". The White House identified Kim's translator as Sin Hye Yong.