In Saturday tweets, President Trump expressed his enthusiasm for face-to-face talks with Kim.
President Trump floored his advisers and left South Korean guests flabbergasted when he agreed to meet with Kim Jong Un.
The White House put tough conditions on the proposed summit with North Korea.
The agreement brightens prospects for a dialogue between North Korea and the U.S.
Playing senior statesman with a roomful of visiting South Koreans offered propaganda and political opportunities.
The message from dictator Kim Jong Un to come at a "convenient time" was delivered by his visiting sister, Kim Yo Jong.
The rival Koreas took steps toward reducing their bitter animosity during rare talks Tuesday.
Kim said his country had achieved the feat of "completing" its nuclear forces and that he has a nuclear button on his desk.
North Korea says a nuclear war on the Korean Peninsula has become a matter of when, not if.