"We had a productive conversation", the USA top diplomat said, but added, "There remains a great deal of work to do".
The remains of some United States soldiers were last returned in 2007, when then-New Mexico Governor Bill Richardson visited Pyongyang.
About 7,700 USA troops are still listed as missing from the Korean War.
North Korean officials didn't show up for a planned meeting with USA counterparts to discuss returning the remains of American war dead, South Korean media reported, in the latest sign of tensions between the two sides.
"Look, people are going to make stray comments after meetings", Pompeo said. The sanctions also introduced a limit of 4 million barrels per a twelve-month period as of 22 December 2017 for the supply, sale or transfer of crude oil to North Korea.
The United States requested the UN sanctions committee to declare that North Korea had violated the UN-approved quota and "order an immediate halt to all transfers of refined petroleum products" to North Korea. Pyongyang has asked the UN Command Armistice Commission to upgrade the talks to a higher level to include a United States general, South Korea's foreign ministry said.
The goal of Pompeo's latest trip to Pyongyang was to negotiate the details of the nuclear agreement Trump signed along with Kim.
Trump tweeted the signed letter, saying it was a "very nice note" and that "great progress was being made". "Great progress being made!".
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He also plans to sort out the captaincy, bearing in mind the club captain Laurent Koscielny is injured. I know this player here is very important for the supporters, he grew up here at Arsenal .
Speaking in Singapore on Thursday, South Korean President Moon Jae-in said that North Korea's statement was a "strategy that can often be seen in negotiations".
The rescheduled date, . this Sunday, July 15th.
US President Donald Trump on Thursday again signalled optimism about efforts to end the nuclear standoff with North Korea, as he took the extraordinary diplomatic step of tweeting out a letter from Kim Jong Un.
On June 12, Trump and Kim pledged the "complete denuclearization" of the Korean peninsula following a historic meeting between the two leaders.
Between 1996 and 2005, some 33 recovery operations were conducted in North Korea which saw 200 sets of remains returned.
Finally, one guy noted that Trump had more pressing issues with Kim than something lame like denuclearization.
North Korea watchers downplayed the significance of the letter.
The South Korean government is "constantly in contact with its USA counterpart" about progress of the talks on war remains repatriation, said Roh Kyu-deok, a spokesman for South Korea's Foreign Ministry, but it declined to comment on any details about the issue.