TOPSHOT - South Korea's President Moon Jae-in (R) shakes hands with North Korea's leader Kim Jong Un (L) during the Inter-Korean summit in the Peace House building on the southern side of the truce village of Panmunjom on April 27, 2018. - North Korean leader Kim Jong Un and the South's President Moon Jae-in sat down to a historic summit on April 27 after shaking hands over the Military Demarcation Line that divides their countries in a gesture laden with symbolism. (Photo by Korea Summit Press Pool / Korea Summit Press Pool / AFP)        (Photo credit should read KOREA SUMMIT PRESS POOL/AFP/Getty Images)
KOREA SUMMIT PRESS POOL/AFP/AFP/Getty Images
TOPSHOT - South Korea's President Moon Jae-in (R) shakes hands with North Korea's leader Kim Jong Un (L) during the Inter-Korean summit in the Peace House building on the southern side of the truce village of Panmunjom on April 27, 2018. - North Korean leader Kim Jong Un and the South's President Moon Jae-in sat down to a historic summit on April 27 after shaking hands over the Military Demarcation Line that divides their countries in a gesture laden with symbolism. (Photo by Korea Summit Press Pool / Korea Summit Press Pool / AFP) (Photo credit should read KOREA SUMMIT PRESS POOL/AFP/Getty Images)
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North Korean leader Kim Jong Un, left, listens to South Korean President Moon Jae-in while walking together at the Panmunjom in the Demilitarized Zone Friday, April 27, 2018. Kim made history Friday by crossing over the world's most heavily armed border to greet his rival, Moon, for talks on North Korea's nuclear weapons. (Korea Summit Press Pool via AP)
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North Korean leader Kim Jong Un, left, listens to South Korean President Moon Jae-in while walking together at the Panmunjom in the Demilitarized Zone Friday, April 27, 2018. Kim made history Friday by crossing over the world's most heavily armed border to greet his rival, Moon, for talks on North Korea's nuclear weapons. (Korea Summit Press Pool via AP)
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PYEONGCHANG-GUN, SOUTH KOREA - FEBRUARY 09:  (EDITORS NOTE: Alternate crop of #916122914) Kim Yo Jong, sister of North Korean leader Kim Jong Un, arrives at the opening ceremony of the PyeongChang 2018 Winter Olympic Games at PyeongChang Olympic Stadium on February 9, 2018 in Pyeongchang-gun, South Korea.  (Photo by Patrick Semansky - Pool /Getty Images)
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(CNN) —  

The leaders of North and South Korea held a surprise meeting Saturday, their second in a month, two days after President Donald Trump abruptly canceled a summit meeting with North Korean leader Kim Jong Un.

Kim and South Korean President Moon Jae-in met for two hours at the Demilitarized Zone, the South Korean presidency said in a statement.

Full coverage: North Korea

Kim Jong Un, left, and Moon Jae-in embrace after Saturday's meeting at the DMZ.
South Korea Presidential Blue House/Yonhap via AP
Kim Jong Un, left, and Moon Jae-in embrace after Saturday's meeting at the DMZ.

The two “exchanged their opinions” on among other things successfully carrying out a future US-North Korea summit, according to the statement. On Thursday, Trump called off a June 12 summit with Kim in Singapore but then told reporters Friday he’s still open to a conference.

Moon will announce the result of his meeting with Kim on Sunday morning local time, the South Korean statement said.

In a tweet Friday, Trump maintained “very productive talks” were continuing on the North Korean summit.

“We are having very productive talks with North Korea about reinstating the Summit which, if it does happen, will likely remain in Singapore on the same date, June 12th., and, if necessary, will be extended beyond that date,” Trump wrote.

Moon, who has been a mediator between Trump and Kim, called an emergency meeting in the middle of the night after Trump called off the June summit in a letter to Kim.

In canceling the meeting, Trump cited hostile comments from top North Korean officials as well as concern about the country’s commitment to giving up its nuclear weapons.

The North and South Korean leaders greet each other before Saturday's meeting.
South Korea Presidential Blue House/Yonhap via AP
The North and South Korean leaders greet each other before Saturday's meeting.

US officials said the final straw came when a North Korean Foreign Ministry official called Vice President Mike Pence a “political dummy” and hinted that Pyongyang was ready for a “nuclear showdown” should diplomacy fail.

But a North Korean Foreign Ministry official said Friday that Kim was still willing to meet with Trump “at any time.”

Previous meeting

Saturday’s meeting at the DMZ followed a daylong summit last month in which Moon and Kim embraced, planted a tree and talked alone for more than 30 minutes. In April, the leaders also signed a declaration that commits the two countries to denuclearization and talks to bring a formal end to the 65-year-old conflict. It was the first time leaders from the two countries had met in 10 years.

In separate speeches last month, Kim and Moon promised a new era. Addressing the world’s media live on television for the first time, Kim said the Koreas “will be reunited as one country.” Moon said: “There will not be any more war on the Korean Peninsula.”

A final peace deal for the two Koreas must also involve China and the United States, both of whom were participants in the original conflict that began in 1950 when the North invaded the South. An armistice was signed in 1953, but no formal peace treaty was ever concluded, and technically, the peninsula remains at war.

CNN’s Joshua Berlinger and Sophie Jeong contributed to this report.