"We will neither beg the USA for dialogue nor take the trouble to persuade them if they do not want to sit together with us", she said. "We'd like to do it".
"President Moon Jae-in held a second summit meeting with Kim Jong Un, chairman of the State Affairs Commission at Tongilgak in the north of Panmunjom from 3 pm to 5 pm on May 26", the statement, issued by Presidential Senior Secretary for Public Relations Yoon Young-chan, reads.
Joel Wit, founder of the respected 38 North website that monitors North Korea, said Kim's hand has been strengthened regardless of whether the summit goes ahead because recent weeks have seen him forge connections with Chinese President Xi Jinping, as well as with Russian Federation and South Korea.
Video footage also showed Kim's sister, Kim Yo Jong, greeting Moon as he arrived at Tongilgak and shaking hands, before the South Korean leader entered the building flanked by North Korean military guards.
"We remain unchanged in our goal and will to do everything we could for peace and stability of the Korean Peninsula and humankind", he said.
Kim and Trump's initial decision to meet followed months of war threats and insults between the leaders over the program.
"There is a very strong possibility a U.S".
The summit, set for June 12, was jeopardized when, on May 11, the US and South Korea started a two-week annual air combat regional exercise, viewed by Pyongyang as a threat to its security.
Earlier on Friday, Trump told reporters the USA and North Korea still wanted to arrange a landmark meeting between the two leaders. Last weekend, they traveled to Singapore and were stood up by the North Koreans, who never showed, according to a White House official. Mr. Kim ordered the complex to be finished by April 15, 2019 to mark the birthday of his late grandfather and North Korea founder Kim Il-sung.
But within 24 hours he reversed course saying it could still go ahead after productive talks were held with North Korean officials.
"It was a very nice statement they put out", Trump said at the White House.
Moon and Kim met just north of the heavily militarised border in the afternoon to exchange views to pave way for a summit between the North and the United States, South Korea's presidential office said.
Moon will hold a press briefing on Sunday morning, the Blue House announced.
Defense Secretary James Mattis also sounded an optimistic note, telling reporters at the Pentagon there is "possibly some good news" about the summit, saying that "if our diplomats can pull it off" it may be back on. Addressing the world's media live on television for the first time, Kim said the Koreas "will be reunited as one country".