Despite the apparent lack of progress, this week Trump praised Kim during a speech at the General Assembly and on Saturday he said after tough talks at their summit in June the pair "fell in love".
United States president Donald Trump took his enthusiasm for his detente with North Korean leader Kim Jong Un to new heights on Saturday, declaring at a rally with supporters that "we fell in love" after exchanging letters.
"He wrote me attractive letters", Trump said of Kim during a rally. No, really. He wrote me lovely letters, and they're great letters. Trump said in a mock "news anchor" voice.
He then added: "I didn't give up anything".
North Korean leader Kim Jong-un (L) with US President Donald Trump (R) during their historic summit.
In reality, however, Trump's North Korea summit has not, according to nonproliferation experts, done anything substantive to change Kim's behavior (though it has succeeded in preventing Trump from making any more comments about the size of his nuclear button, an accomplishment which would probably put any other person in the running for a Nobel Peace Prize).
Trump began by talking of the massive threat that North Korea posed before he took office in January 2017.
Ri's comments at the UN General Assembly were toned down from past year, when North Korea and the United States exchanged sharp words that had the world anxious the two sides could go to war.
Despite this, negotiations between the U.S. and North Korea have stalled since the Singapore summit.
The crowd laughed in response to Trump's "love" line, though the comment was more self aggrandizement than humor - he had also just informed supporters that he had prevented the deaths of millions, come up with a better foreign policy toward the rogue nation than President Obama or any other US leader, and that anyone who says any different is lying.
North Korea's foreign minister Ri Yong Ho on Saturday told the United Nations there was "no way" that his country would disarm first as long as the USA to push for tough enforcement of sanctions against Pyongyang. Millions of people would have been killed.
Instead, he noted, the U.S. is continuing sanctions aimed at keeping up pressure.
He claimed his growing closeness to Mr Kim has resulted in the end of rocket tests, helped free hostages and is getting the remains of American servicemen returned home.
The Trump administration is preparing for a second summit with Kim to talk about denuclearization.