LISTEN LIVE

South Korea

North Korean leader Kim Jong Un says he will visit Seoul "in the near future," amid an ongoing summit with South Korea's Moon Jae-in in which he also renewed pledges to shut down a primary missile launch site and a key nuclear weapons complex if the U.S. takes "corresponding" measures.

Kim's remarks about traveling to Seoul were made during a news conference in Pyongyang with the South Korean president. It would be the first-ever visit to the South Korean capital by a North Korean head of state.

South Korean President Moon Jae-in and North Korean leader Kim Jong Un plan to hold their third summit, announcing Monday that they will meet in Pyongyang sometime in September.

"For peace and prosperity of the world as well as those of the Korean peninsula," read a short issued by South Korea's Blue House on Monday, after diplomatic delegations from the estranged nations met in the truce village of Panmunjom to discuss the idea of a new summit.

Updated at 4:47 p.m. ET

President Trump cautioned that his historic summit with North Korean leader Kim Jong Un may not happen as planned.

"There's a chance, there's a very substantial chance that it won't work out," Trump said during an Oval Office photo op with the president of South Korea. "I don't want to waste a lot of time. And I'm sure he doesn't want to waste a lot of time. So there's a very substantial chance that it won't work out and that's OK. That doesn't mean that it won't work out over a period of time."