White House spokeswoman Sarah Sanders said the “very warm” letter showed Pyongyang’s “continued commitment to focus on denuclearisation”.
Negotiations on the topic appeared to have stalled after the two leaders’ historic summit in Singapore in June.
“The primary purpose of the letter was to request and look to schedule another meeting with the president, which we are open to and are already in the process of co-ordinating that,” Ms Sanders said.
She gave no indication of when a second meeting between the two leaders could potentially take place.
Pyongyang’s letter comes a day after Yukiya Amano, the head of the UN’s nuclear watchdog, warned that North Korea’s ongoing nuclear activities violated UN Security Council resolutions.
International inspectors are banned from North Korea, but Mr Amano said they were ready to return if a political agreeme