Press Secretary Sarah Sanders said in a brief statement to reporters: "The President replied to President Kim's letter."
The North Korean state media reported that Kim had received the Trump letter from Kim Yong Chol. The report calls it a "good personal letter".
In June, Trump and Kim met for their first meeting in Singapore. The meeting ended with a commitment by the North Korean leader to "work for full denuclearization on the Korean Peninsula," but talks have been stalled since then.
At the time, Trump announced that the summit had eliminated any nuclear threat from North Korea, although the meeting did not provide evidence that North Korea would end its nuclear program. Pyongyang to agree to the specifics of its first meeting. They say the North Koreans want another summit because they think they can get bigger concessions by meeting Trump directly instead of working with envoys like Secretary of State Mike Pompeo or Steve Beegun, US Special Representative for the North Korea. a week shortly after the White House meeting, Sanders was asked by reporters why the US should believe North Korea's promises of denuclearization.
"We continued to make progress," Sanders said. "We will continue to hold talks, and the US will continue to maintain pressure and sanctions against North Korea until we fully see and verify the nuclear nuclear blockade." We have very good footsteps with the goodwill of the North Koreans to release the hostages and other moves, so we will continue these conversations. "