Donald Trump and North Korea's Kim Jong-un have cut short their [second summit](http://Donald Trump and Kim Jong Un look for ‘right deal’ at nuclear summit) without reaching an agreement.
The summit, in Hanoi, Vietnam, broke up on Thursday earlier than expected.
Mr Kim had offered denuclearisation in exchange for US sanctions on North Korea being lifted, the US leader reported at a press conference, but this offer was rejected.
Secretary of State Mike Pompeo said that he wished the two sides could have made more progress, but claimed Mr Kim had been "unprepared" to commit when pushed to do more.
White House press secretary Sarah Sanders said the talks between Mr Trump and Mr Kim had been "very good and constructive".
Directly after the summit's conclusion, Ms Sanders said: "No agreement was reached at this time, but their respective teams look forward to meeting in the future."
In the meantime, Mr Kim gave assurances that he would hold off on further nuclear and missile tests.
No future summit has yet been agreed, Mr Trump said, adding: "It might be soon. It might not be for a long time."
Both leaders' motorcades roared away from the downtown Hanoi summit site within minutes of each other after both a lunch and a signing ceremony were scrapped.
Mr Trump's end-of-summit news conference was moved up and White House aides said he would address the sudden change in plans.
The breakdown came just hours after Mr Trump and Mr Kim appeared to inch toward normalising relations between their still technically-warring nations.
In something of a role reversal, Mr Trump deliberately ratcheted down some of the pressure on Pyongyang, abandoning his fiery rhetoric and declaring he was in "no rush. We just want to do the right deal".
Mr Kim, for his part, when asked whether he was ready to denuclearise, said: "If I'm not willing to do that I won’t be here right now."
Furthering the spirit of optimism, the leaders seemed to find a point of agreement moments later when Mr Kim was asked if the US may open a liaison office in North Korea.
Mr Trump declared it "not a bad idea" and Mr Kim called it "welcomable".
But questions persisted throughout the summit, including whether Mr Kim was willing to make valuable concessions, what Mr Trump would demand in the face of rising domestic turmoil and whether the meeting could yield far more concrete results than the leaders' first summit, a meeting in Singapore less than a year ago.