North Korea then proposed meeting U.S. military officials on Sunday, U.S. and South Korean officials have said.
The repatriation of US service members" remains was among the agreements reached during a historical summit in June between President TrumpDonald John TrumpReporters defend CNN's Acosta after White House says he "disrespected" Trump with question Security costs of Trump visit to Scotland sparks outrage among Scottish citizens Ex-CIA officer: Prosecution of Russians indicted for DNC hack "ain't ever going to happen' MORE and North Korean leader Kim Jong Un.
There was no immediate word from the US side, but South Korean media said that the USA team was led by Air Force Maj.
It was the first time in more than nine years that the US and North Korea held a meeting that involved negotiators of general-rank.
In a statement, Pompeo said the meeting was "productive and co-operative and resulted in firm commitments".
The U.S. and North Korea are technically still in a state of war since the conflict ended in an armistice and not a formal peace treaty.
Pompeo initially said the two sides had agreed to hold talks on US remains on Thursday but no North Korea representatives showed up on the border.
The return of the remains of American soldiers was agreed to during the June 12 North Korea-U.S. Singapore summit.
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It's unusual for state media to carry dispatches showing Kim's criticism of officials.
Working level meetings will begin on Monday to coordinate the next steps for the repatriation of remains, including the transfer of those already collected in North Korea, Pompeo said.
The U.S. government estimates that the North Korean government has about 80,000 to 120,000 political prisoners in detention.
At the Orangchon power station, which is only 70% complete following delays, Kim said he was "so appalled as to be left speechless", according to the North's official news agency KCNA. Pompeo characterized the talks by saying that they "made progress on nearly all of the central issues, some places a great deal of progress, other places there's still more work to be done".
Pyongyang's external propaganda website Meari (echo) said that US intelligence organs and media have recently raised speculation about North Korea expanding its nuclear and missile facilities in violation of its commitment to complete denuclearization.
Secretary of State Mike Pompeo said after a visit to North Korean capital Pyongyang earlier this month that the meeting would take place Thursday - but the Hermit Kingdom's delegation never showed up.
Calling Trump "Your Excellency" five times, Kim said in the letter Trump's "invariable trust and confidence" would be "further strengthened in the future process of taking practical actions".