With all eyes on next month's on-again, off-again summit between North Korean leader Kim Jong Un and U.S. President Donald Trump, Kim reiterated his commitment to the "denuclearization of the Korean Peninsula" and to a Trump sit-down, South Korean President Moon Jae-in said Sunday, a day after his secret meeting with Kim at the two Koreas' border.

Moon's remarks at a televised news conference came almost simultaneously as Trump said negotiations over the potential summit with Kim that he had canceled last week were "going along very well."

"We're looking at June 12 in Singapore. That hasn't changed," the U.S. president said.