These have come at a time of rapprochement between the two sides.
Tokyo is also pushing hard to resolve the sensitive issue of Japanese abducted by North Korea. And just as the intelligence agency of South Korea had pointed out, the FireEye report indicated that the attacks on the exchanges had been preceded by spear-phishing campaigns.
South Korean Foreign Minister Kang Kyung-wha spoke to Pompeo by telephone Saturday.
The diplomats also pledged to coordinate closely and shared the same view that pressure must continue until North Korea denuclearizes.
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After speaking with Trump by phone on Wednesday, Abe said Tokyo and Washington are in "complete agreement regarding the policy of realizing complete denuclearisation of the Korean peninsula", and said he raised the abductees as the issue "most important of all".
United States intelligence and defence officials have repeatedly expressed doubts about North Korea's willingness to give up its nuclear weapons and did not expect Mr Pompeo's trip to yield positive results.
It appealed to both sides to "show more sincerity and flexibility" instead of "being capricious and overly prejudiced".
"Additionally, because of our much tougher Trading stance with China, I do not believe they are helping with the process of denuclearization as they once were (despite the UN Sanctions which are in place)", Trump said.
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Trump said on Friday that Pompeo would still head to North Korea "in the near future", saying this was likely to occur when the US-China trading relationship is "resolved". In the meantime, I would like to send my warmest regards and respect to Chairman Kim (Jong-un). "I look forward to seeing him soon!"
Post-summit nuclear talks got off to a rocky start, with North Korea accusing the United States of making unilateral demands on denuclearization.
"U.S. aircraft routinely fly from Japan to the Philippines and other nations around the region for a variety of training and operational reasons, so the notion that any single flight is related to North Korea is a bit far fetched", he said.
"The challenge is that by essentially claiming to have achieved that goal in Singapore, President Trump has made it hard for his administration to accept something less".
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Kim, who once ran a fisheries export business in Japan, said he has friends there who print out his emails and mail them to his younger sister and other relatives in North Korea. "At the same time, he wants China's help". There Trump maintained "we're doing well with North Korea".
North Korea's blistering broadsides against Japan are nothing new, given its position as a hated former colonial power and a key player in worldwide efforts to punish Pyongyang with sanctions over its pursuit of nuclear weapons.
She was one of the more than 90,000 Koreans and their relatives in Japan who went to North Korea decades ago seeking what the country promised: "paradise on earth".
Meanwhile, South Korea's President Moon Jae-in convened a meeting of his National Security Council Sunday to discuss the cancellation of Pompeo's trip. Trump has given Pyongyang the advantage and undercut his own negotiators.
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But it could also strengthen China's hand, with President Xi Jinping widely expected to attend Pyongyang's September 9 celebrations of the 70th anniversary of the founding of North Korea.