"So, basically it's up to the Trump Administration to use the elements of American power".
A North Korean statement issued in response to the news saw DPRK first vice-minister of Foreign Affairs Kim Kye Gwan say his country remained prepared to hold face-to-face talks "at any time and in any way".
Trump's optimism that the June 12 summit in Singapore will still happen does not mean that it will, however, and even if all sides agreed to whatever it is they need to agree to, there might not be enough time left to get ready.
"It's fantastic. I feel great being in Singapore", said Howard X.
In South Korea, it wasn't immediately clear whether the American officials, including Sung Kim, the US ambassador to Manila, were heading to the Korean village of Panmunjom, which straddles the border inside the Demilitarized Zone, where they met with North Korean officials on Sunday.
Sen. Marco Rubio, Florida Republican, said he's skeptical that Mr. Kim will agree to completely give up his country's nuclear capabilities, saying the leader has an nearly emotional attachment to them and that they make him feel prestigious and powerful.
"We continue to prepare for a meeting between the President [Donald Trump] and North Korean leader Kim Jong-un".
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Mr Trump said the Libya model would only come into play if a deal could not be reached with North Korea. Secretary of State, Mike Pompeo visited Pyongyang last week to finalise the summit date and location.
Details such as when and where Abe and Trump will meet will be worked out, a senior Japanese government official said.
"We're seeing a positive start to the week just because of that North Korea flip", said Nick Twidale, chief operating officer of Rakuten Securities' Australian unit.
Earlier, the US State Department said US and North Korean officials had met at Panmunjom, a village in the Demilitarised Zone (DMZ) that runs along the heavily armed border between North and South Korea. Mr Moon called the gathering a meaningful attempt to clear up "some difficulties in communication" as the two leaders shared warm words on the northern side of their border.
The second meeting between Kim and Moon in as many months reflects urgency among both men to maintain momentum for diplomacy.
According to NHK, Japan's public broadcaster, Abe - who was meeting with President Vladimir Putin of Russian Federation over the weekend - conveyed both Japan's and Russia's support for the summit meeting to go forward. Mr. Moon brought this up again last weekend, and told the press, "Should the North Korea-US summit succeed, I would like to see efforts to formally end the (Korean) war through a three-way summit of the South, the North and the US". That often takes months if not years of work and planning.
"There are meetings going on as we speak", he said. "They are going to be best friends right after this meeting". Teams had already been surveying hotel ballrooms and other possible locations for the meeting when Trump declared it canceled last week.
Experts say that after those working-level talks, Secretary of State Mike Pompeo could meet with Kim Yong-chol, a vice central committee chairman of the North's ruling Workers' Party, for final preparations.
Here's where we stand with what could be a historic meeting.