A spokeswoman for USA military forces in Korea, meanwhile, said it had not received any direction to cease joint military drills.
If implemented, the plan could be one of the most concrete and controversial moves to come from Trump's summit with Kim, who pledged to pursue denuclearisation but offered no details. We did sanctions and all of the things that you would do.
North Korea is now under both worldwide and unilateral U.S. sanctions for its nuclear and missiles tests.
North Korea's state media, referring to the drills, recently demanded that Washington "stop the acts of threatening its dialogue partner by force".
The effort will be the continuation of past missions that abruptly ended over a decade ago amid North Korea's increasing hostility and development of nuclear weapons. "So I think the rhetoric - I hated to do it, sometimes I felt foolish doing it - but we had no choice".
In a statement signed by both leaders, the countries agreed to the recovery of the remains and the immediate repatriation of those already identified.
The statement was otherwise filled with vague aspirational vows for peace and the denuclearization of the Korean Peninsula.
He wondered if Kim will insist that the US remove its "nuclear umbrella" from the region.
"The key question is whether this concession by Mr. Trump was coordinated at all with the (South Korean) Government", Countryman said. Washington and Pyongyang agreed to hold follow-up talks at the "earliest possible date" between U.S. Secretary of State Mike Pompeo and a relevant high North Korean official. "There has been real concern that he would only look after USA interests, not those of our long-standing allies".
During the first press conference after his historic meeting with the North Korean leader, Trump said USA war games in the region would be "provocative" amid talks with Pyongyang and promised to suspend them.