The United States aspires to have North Korea as a "close partner" and not an enemy, the USA secretary of state has said.
A day after returning from a trip to Pyongyang, Pompeo said he had "good" and "substantive" conversations with Kim during his visit, during which he secured the release of three Americans who had been detained in North Korea.
Ms Kang praised the upcoming meeting between Mr Trump and Mr Kim in Singapore as a "historic" opportunity, but added a few notes of skepticism as well.
Mr Pompeo said there would need to be "complete" and "verifiable" denuclearisation that would remove North Korea as a threat to the South, the United States and the rest of the world.
"Pompeo said the complete denuclearisation of the Korean peninsula would require a robust verification" program by the United States and other countries.
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And Pompeo said the United States would remain on board to help develop the North's economy, which has been devastated by its own mismanagement and crippling global sanctions.
According to him, his conversation with North Korean leader Kim Jong-UN was a "good and meaningful".
Japan says North Korea abducted at least 17 Japanese citizens in the 1970s and 1980s to train agents in Japanese culture and language to spy on South Korea.
"If Chairman Kim chooses the right path, there is a future brimming with peace and prosperity for the North Korean people", he said, adding that the United States had a track record of support for the Korean people that was "second to none".
He said his talks with Kim Jong Un had been "constructive", "warm" and "good".
In North Korea's bombastic rhetoric, "denuclearization" has, for years, been a byword for United States troop withdrawals from South Korea - an idea that Kang appeared to reject. "Those words are important, but we'll see what they mean".
Amid concerns North Korea will demand the US withdraw its troops from neighboring South Korea, Ms Kang emphasised the US military presence there must be "a matter for the US-ROK alliance first and foremost", using an acronym for South Korea's official name, the Republic of Korea.