Pompeo's remarks contrasted sharply with comments from a senior defense official who briefed reporters ahead of a trip to Asia by U.S. Secretary of Defense Jim Mattis and said Washington would soon present a timeline to North Korea with "specific asks".
Limits placed by North Korea on the upcoming inter-Korean family reunions could be a sign of the hard road that lies ahead to implement the recent denuclearization agreements made by Kim Jong Un. "North Korea relations we will take additional steps in correspondence".
Pompeo has said in the past that he wanted to see full North Korean denuclearization before the end of Trump's first term in 2020.
"We have a good chemistry together", Trump said.
North Korea's commemoration of the Korean War usually begins on June 25, which was the official starting date of the war in 1950.
Turquie : Erdogan revendique la victoire à l'issue d'élections disputées
Erdogan avait obtenu moins de 50 % des voix, et qu'un second tour était nécessaire - avant de reconnaître sa défaite, lundi. Erdogan est arrivé en tête de la présidentielle avec un score de 52,5 % après dépouillement de plus de 99 % des urnes.
More than 36,500 USA troops died in the war, and about 7,700 military personnel remain unaccounted for. U.S. recovery efforts in the country were halted in 2005 as tensions heightened between the two countries.
Pompeo, who has been charged with leading negotiations aimed at persuading North Korea to give up a nuclear weapons program that threatens the United States, said he would "constantly reassess" whether enough progress was being made to continue talks.
North Korea propaganda outlet Uriminzokkiri focused on the returns of USA remains, and described the policy as a step forward.
The joint statement between Trump and Kim laid out broad principles about North Korea's commitment to denuclearize, but was short on specifics on how and when that would happen, or how Pyongyang would be rewarded by the United States for doing so.
South Korean Min Ho-Sik, center, 84, hugs his North Korean relative Min Eun-Sik, right, 81, during a reunion meeting of family members separated after the Korean War at the Mount Kumgang resort on the North's southeastern coast, October 20, 2015. Last week, Tokyo said it would suspend the drills for the time being after the Singapore summit.
The meeting was the culmination of a rapid detente between Pyongyang and Washington and saw Kim commit to working towards denuclearisation, although critics noted the summit agreement was vague and non-binding.