"While there's still a long way to go and much work to do, we can now see a path to where we'll achieve the ultimate goal, which is the full and final verified denuclearisation of North Korea," Pompeo told reporters at the White House after a lunch with President Donald Trump.
Pompeo's trip was intended to set the table for a second summit between Trump and Kim, who held an historic summit in Singapore on June 12.
On Indian-American Nikki Haley resigning as the US Ambassador to the UN, Pompeo said she was his "great partner.
"I want to thank Amb Haley for the good work that she has done. She has been a great partner of mine for the five months that she and I have been working together, Pompeo said.
I want to wish her very well whatever comes next for her, Pompeo said.
In a surprise move, Haley on Tuesday resigned as the US Ambassador to the United Nations, becoming the latest casualty in the dysfunctional Trump administration just weeks before the crucial mid-term elections.
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