Officials from North and South Korea and the United Nations have begun talks to turn a border village into an unarmed neutral enclave where military guards and tourists from both sides would move freely across the demarcation line.
The steps they are aiming for range from withdrawing firearms and guard posts to reducing personnel and adjusting surveillance equipment, the ministry said, adding that the three-way channel would be used for more discussions.
Theresa May is expected to rebuff a request from Moon Jae-in, the South Korean president, for Britain to relax sanctions on Pyongyang when the two leaders hold talks at the Asia-Europe Meeting in Belgium on Friday.
"I am encouraged by this productive, trilateral dialogue", Brooks said in a statement.
"We are at a very critical moment for the denuclearization of the Korean Peninsula and the advancement of inter-Korean relations", Cho said, "and there's also a second North Korea-U.S. summit coming up".
Biegun is also due to visit Brussels and Paris for talks with EU, NATO, and European counterparts.
South Korean President Moon Jae-in has been keen to agree a declaration formally ending the war by the year-end, but Washington has linked this to progress on denuclearisation. This could include removing all firearms from the Joint Security Area (JSA), the only area along the border where troops from both sides, as well as the U.S., stand face-to-face.