Further details from Tuesday's meeting weren't immediately available.
Recall that in early October, U.S. Secretary of state held talks with Kim Jong-UN about the Singapore agreements on nuclear disarmament.
The agreements come amid unease in Washington over the speed of inter-Korean engagement.
The denuclearization process, however, almost halted after the United States president called off a scheduled North Korea trip by his top diplomat, Mike Pompeo, citing what he called a lack of progress in that process.
Speaking in Paris, France, during an official bilateral visit, South Korean President Moon Jae-in directly raised the prospect of providing North Korea with some relief from United Nations sanctions for its steps toward denuclearization.
Trump said on Tuesday his second summit with Kim would be held after the elections slated for November 6.
Still, there is widespread skepticism that North Korea will disarm.
North Korea, however, is "suffering great difficulty because of worldwide sanctions and doesn't have the ability to shoulder the retaliation from the United States and global community in the case it breaches denuclearization negotiations", Moon said.
In the audit, the South Korean ambassador to the US admitted that he had received a complaint from Washington that Seoul was "moving too quickly" in rapprochement with the North, which can not be forced to give up its nuclear weapons if sanctions are undermined.
The two Koreas will also conduct a joint field inspection for the envisioned connections before the ceremony, a joint statement released by the ministry said, following the day's high-level talks in the Demilitarized Zone dividing the two Koreas.
Officials also agreed to hold military talks "as soon as possible" to ease tensions at the border area and to arrange a Red Cross meeting to discuss issues on reunions for war-separated families.
"Chairman Kim Jong-un has said he is willing to not only halt the country's nuclear and missile tests and also dismantle its production facilities, but also dismantle all nuclear weapons and nuclear materials it now possesses if the United States takes corresponding measures", Moon additionally told Macron, referencing language that appeared in the September 19 joint declaration that he and Kim Jong Un agreed to in Pyongyang during the fifth inter-Korean summit meeting, the third between Moon and Kim this year.
"Ending the war is a sort of a political declaration to terminate the longstanding hostile relationship between the United States and North Korea, and it would kick off peace negotiations depending on the denuclearization process", Moon said.
Kang was not specific, but her comments fueled speculation that Washington wasn't fully on board before Seoul signed the agreements. After foreign minister Kang Kyung-wha said Seoul was mulling whether to lift its own sanctions imposed since the Cheonan warship sinking in 2010, U.S. President Donald Trump snapped that Seoul could "do nothing" without Washington's approval.
Experts say updating North Korean trains, which use rails that were first laid in the early 20th century, could take decades and cost tens of billions of dollars.
North and South Korea have made a decision to inaugurate in late November or early December work on reconnecting railway and roads between the two countries.
They began removing land mines in several small areas this month and will build roads for a pilot project set for April to excavate the remains of soldiers missing from the Korean War.