North Korean leader Kim Jong Un has reportedly agreed to hold a second summit with President Trump Donald John TrumpBiden on Trump's refusal to commit to peaceful transfer of power: 'What country are we in?' Romney: 'Unthinkable and unacceptable' to not commit to peaceful transition of power Two Louisville police officers shot amid Breonna Taylor grand jury protests MORE "as soon as possible."

Secretary of State Mike Pompeo Michael (Mike) Richard PompeoTreasury sanctions individuals, groups tied to Russian malign influence activities Navalny released from hospital after suspected poisoning Overnight Defense: Pentagon redirects pandemic funding to defense contractors | US planning for full Afghanistan withdrawal by May | Anti-Trump GOP group puts ads in military papers MORE relayed that message to South Korean President Moon Jae-in, the South Korean leader's office said in a statement, according to multiple reports.

Pompeo, who met with Kim on Sunday, told Moon that Kim agreed to meet with Trump at a summit that "should be held as soon as possible," the statement reportedly said.

Moon's office also indicated that the U.S. and North Korea are still discussing when and where the meeting will be held.

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Trump wrote in a tweet Sunday that he looks forward to seeing Kim in the "near future."

".@SecPompeo had a good meeting with Chairman Kim today in Pyongyang. Progress made on Singapore Summit Agreements! I look forward to seeing Chairman Kim again, in the near future," Trump tweeted.

.@SecPompeo had a good meeting with Chairman Kim today in Pyongyang. Progress made on Singapore Summit Agreements! I look forward to seeing Chairman Kim again, in the near future. pic.twitter.com/bUa2pkq80s — Donald J. Trump (@realDonaldTrump) October 7, 2018

Trump and Kim held their first summit over the summer in Singapore in what was a historic moment for the longtime foes. Kim promised to give up his nuclear weapons in exchange for sanctions relief from the U.S., but the two sides did not agree to a specific timeline.

White House press secretary Sarah Huckabee Sanders said last month that the White House was "already in the process of coordinating" a second summit and that the summit was "certainly something we want to take place."