Think wisely
A series of follow-up meetings and working-level talks failed to close the gap, however, and North Korea has taken an increasingly confrontational tone, resuming short-range missile launches, blowing up an inter-Korean liaison office and severing communication hotlines with South Korea.
On Wednesday, North Korea said it had decided to suspend plans for unspecified military action against South Korea, but warned it to "think and behave wisely".
While South Korea's military stands ready to counter any threat, Seoul does not wish to force its political or economic systems on the North, South Korean President Moon Jae-in said at an anniversary event.
"We will continuously search for routes that are mutually beneficial for both Koreas through peace," he said. "Before speaking of unification, I hope that we can become friendly neighbours first."
Moon oversaw a ceremony in which the U.S. military repatriated the remains of 147 South Korean soldiers who died in the war. The remains were recovered in North Korea in operations dating back to the 1990s.
Recovering remains of the roughly 5,300 American service members missing in North Korea had been one element of a statement signed by Kim and Trump at a Singapore summit in 2018, but after North Korea handed over the remains of at least 62 Americans, those efforts stalled as tensions rose.
Historians have estimated the war may have caused as many as 1 million military deaths and killed several million civilians. Thousands of families were divided with little contact as the heavily fortified Demilitarized Zone (DMZ) cut the peninsula in two.
Despite misgivings from many in the United States, South Korean officials are pushing more forcefully for an end to the armistice arrangement.
"It is time for Korea to take centre stage in maintaining its own peace and security...," South Korean Vice Foreign Minister Cho Sei-young said on Wednesday.