Three senior USA officials involved in North Korea policy said last week that no progress has been made in moving towards serious negotiations on eliminating or even halting Mr Kim's nuclear weapons and ballistic missile programmes.
Trump took a much more optimistic view in his rally speech.
The North Korean foreign minister contrasted Pyongyang's relations with Washington with the rapid progress made in inter-Korean relations through three summits this year, most recently September 18-20.
Though the speech was relatively positive, the U.S. leader did end by saying he would not be reducing sanctions placed on the country until it was completely denuclearized.
But the United States has said the North must first give up its nuclear and missile program.
In talks with South Korean President Moon Jae-in in Pyongyang earlier this month, Kim pledged to permanently dismantle his country's major nuclear complex if the United States takes reciprocal actions.
This past Tuesday, Trump thanked Kim for his "courage" at the UN General Assembly. Instead, he noted, the U.S.is continuing sanctions aimed at keeping up pressure.More news: Can women be punished for adultery? Supreme Court verdict today
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While speaking at a rally in West Virginia for Republican Senate candidate and state attorney general Patrick Morrisey, Trump told the roaring crowd that he and North Korean leader Kim Jong Un "fell in love".
Pompeo will make his fourth trip to the North Korean capital next month.
"The perception that sanctions can bring us on our knees is a pipe dream of the people who are ignorant about us".
Last year, the Security Council unanimously adopted multiple sanctions resolutions in response to North Korea's nuclear and ballistic missile tests to choke off sources of revenue for the regime. But throughout his time at the United Nations this past week, Pompeo emphasized that continued sanctions would be part of the Americans' approach.
Trump predicted that his comment would be described as "unpresidential".
'The sanctions will stay in place until denuclearization occurs'. Post-summit nuclear negotiations between Washington and Pyongyang were rocky and quickly settled into a stalemate.
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.