The Latest: Trump says Korea talks "going along very well'

Protesters hold candle lights during a rally to denounce the United States' policies against North Korea near the U.S. embassy in Seoul, South Korea, Friday, May 25, 2018. North Korea said Friday that it's still willing to sit down for talks with the United States "at any time, at any format" just hours after President Donald Trump abruptly canceled his planned summit with the North's leader Kim Jong Un. (AP Photo/Ahn Young-joon)
Protesters hold candle lights during a rally to denounce the United States' policies against North Korea near the U.S. embassy in Seoul, South Korea, Friday, May 25, 2018. North Korea said Friday that it's still willing to sit down for talks with the United States "at any time, at any format" just hours after President Donald Trump abruptly canceled his planned summit with the North's leader Kim Jong Un. (AP Photo/Ahn Young-joon)
In this photo provided by South Korea Presidential Blue House via Yonhap News Agency, North Korean leader Kim Jong Un, right, and South Korean President Moon Jae-in, left, shake hands before their meeting at the northern side of the Panmunjom in North Korea, Saturday, May 26, 2018. Kim and Moon have met for the second time in a month to discuss peace commitments they reached in their first summit and Kim's potential meeting with President Donald Trump. (South Korea Presidential Blue House/Yonhap via AP)
Protesters rally to denounce the United States' policies against North Korea near the U.S. embassy in Seoul, South Korea, Friday, May 25, 2018. North Korea said Friday that it's still willing to sit down for talks with the United States "at any time, at any format" just hours after President Donald Trump abruptly canceled his planned summit with the North's leader Kim Jong Un. The signs read: " Denounce Trump." (AP Photo/Ahn Young-joon)

SEOUL, South Korea — The Latest on diplomatic efforts involving the Koreas (all times local):

10:20 a.m.

President Donald Trump says negotiations over a potential summit with the leader of North Korea are "going along very well."

Trump told reporters Saturday that: "We're doing very well in terms of the summit with North Korea," adding that "there are meetings going on as we speak."

Trump said they are still considering June 12 in Singapore for the summit with Kim Jong Un. He said there is a "lot of good will" and denuclearization of the Korean peninsula would be "a great thing."

Trump also said that talks between North Korean leader Kim Jong Un and South Korean President Moon Jae-in have "gone very well."

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8:15 p.m.

North Korean leader Kim Jong Un and South Korean President Moon Jae-in have met for the second time in a month to discuss peace commitments they reached in their first summit and Kim's potential meeting with President Donald Trump.

South Korea's presidential office said Moon will personally announce the outcome of Saturday's summit with Kim on Sunday. 

The meeting a border truce village came hours after South Korea expressed relief over revived talks for a summit between Trump and Kim following a whirlwind 24 hours that saw Trump cancel the highly anticipated meeting before saying it's potentially back on.

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10:15 a.m.

South Korea says it feels relieved about the revived talks for a summit between President Donald Trump and North Korean leader Kim Jong Un over the future of Kim's nuclear weapons program.

The statement by Seoul's presidential office on Saturday came hours after Trump welcomed North Korea's conciliatory response to his Thursday letter withdrawing from the summit with Kim and said that the meeting might be getting back on track.

Trump later on Saturday tweeted that the summit, if it does happen, will likely take place on June 12 in Singapore as originally planned.

Seoul's Blue House says it's "carefully" watching the developments between Washington and Pyongyang.

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