President Donald Trump says he hopes to see North Korean leader Kim Jong Un "in the near future" after his top diplomat reported progress Sunday at a meeting with Kim in Pyongyang held to resolve details over a potential second summit.

Secretary of State Michael Pompeo told South Korean President Moon Jae-in upon his arrival in Seoul that Kim had agreed to meet with Trump "as soon as possible," according to a statement from Moon's office.

The South Koreans said the U.S. and North Korea discussed establishing formal negotiating groups to set a "denuclearization process" and work out a time and location for a follow-up meeting to the first Trump-Kim summit in June.