North Korea's state media were filled with reports, photos, and video of the June 12 meeting between Mr. Trump and Mr. Kim in Singapore.
The North has long accused the U.S. of provoking the 1950-53 Korean War as part of a plan for global domination and blames it for the division of the peninsula, agreed between Moscow and Washington in the closing days of World War II.
"If we can't do that, if it turns out that there is no capacity to deliver the outcome that both presidents said they wanted, yeah, we reassess".
A 42-minute documentary-style news special was aired on the state television network two days after the summit and has been repeated frequently since, meaning that by now there are probably few North Koreans who are unaware of the changes in the air.
This week Defense Secretary Jim Mattis visits China, South Korea and Japan, where he is expected to discuss implementing North Korea's denuclearization agreement, and the US decision to suspend major joint military drills between the USA and South Korea.
Referring to Trump's decision to suspend joint military exercises with South Korea, Pompeo told CNN this move would last "only so long as there is a good faith negotiation progress, productive results being achieved".
Last Thursday, state TV showed Kim on his third visit to China, disembarking from his aircraft with his wife Ri Sol-ju affectionately holding on to his arm.
The North's agreement to hold only a single week of reunions for 100 families, falls far short of what many expected after Kim Jong Un and South Korean President Moon Jae-in promised "comprehensive and groundbreaking advancement of inter-Korean relations" in their joint declaration at the end of the inter-Korean summit in April.
CNN said Pompeo suggested it was too soon to expect a detailed roadmap after 40 years of tensions but insisted that Kim had been "unequivocal" about his willingness to denuclearize.
Japan has been eyeing prospects for a summit with North Korean leader Kim Jong Un, at which Prime Minister Shinzo Abe hopes to tackle the issue of Japanese citizens abducted decades ago by the North.
Pompeo, who has been charged with leading negotiations aimed at persuading North Korea to give up a nuclear weapons program that threatens the USA, said he would "constantly reassess" whether enough progress was being made to continue talks.