"Without any trust in the U.S., there will be no confidence in our national security and under such circumstances, there is no way we will unilaterally disarm ourselves first".
The two will live with South Korea's First Dog, Tori, who became the first shelter dog to take up residence at the South Korean presidential compound.
The North has technically been at war with the South since the end of the 1953 Korean War as a peace treaty was not signed. Instead, he noted, the U.S.is continuing sanctions aimed at keeping up pressure on North Korea.
Boiling the rivals' diplomatic standoff down to the North's deepening feeling of mistrust, Ri Yong Ho sought to lay out a vision of peace on the troubled Korean Peninsula - provided the North gets what it wants from the United States.
Ri was speaking at the United Nations general assembly in NY.
The US secretary of state, Mike Pompeo, seems to be on the verge of restarting deadlocked nuclear diplomacy more than three months after the Singapore meeting.
"I was really being tough and so was he", he continued, referring to the harsh words the two leaders exchanged before their make-up.
During the West Virginia rally, Mr Trump told supporters that Mr Kim is interested in a second meeting. No, really. He wrote me handsome letters, and they're great letters.
"And then we fell in love, okay" he said.
Mr Trump joked about the criticism he would receive following his positive comments about the North Korean dictator, saying some would consider it "unpresidential". Trump said in a mock "news anchor" voice.
Washington and Pyongyang are now said to be negotiating a second summit between Trump and Kim.
'I would like to thank Chairman Kim for his courage and for the steps he has taken, though much work remains to be done'.
"The DPRK government's commitment to the denuclearization is solid and firm, however, it is only possible if the U.S secures our sufficient trust towards the USA", the foreign minister said.
Satellite images released in July revealed that North Korea were putting the finishing touches on a ballistic missile factory at the same time as the US-North Korea summit.
The subject of North Korea-U.S. relations have been raised several times during the course of the week at the United Nations by a number of member states.