Also on Tuesday, Kim Jong-un made his second surprise visit to China in just over a month, in another sign of warming relations between the two communist states just weeks ahead of Kim's planned meeting with Trump.
While revealing his decision to withdraw the United States from the Iran nuclear deal Tuesday afternoon, Trump noted that Pompeo was due to land shortly.
Trump said on Twitter that he will be speaking to Xi about later on Tuesday, adding that North Korea would be one of the topics they would talk about.
By having Kim, or a high-level official, visit for the carrier launch, China may be trying to re-assert themselves in the North Korea conversation.
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The Chinese foreign ministry would not confirm or deny that a North Korean official had visited the country.
Xi held a welcome banquet for the North Korean leader and took a casual stroll with him along a beach, Chinese state media Xinhua reported.
Pompeo's trip comes amid rumors of the release of three USA citizens detained in North Korea.
North Korea and Dalian do not have direct scheduled flights, it was reported by AP.
Although there were no guarantees that the American prisoners would be freed during Pompeo's visit, USA officials said their release would be a significant goodwill gesture ahead of the Trump-Kim summit that is expected later this month or in early June.
China has been eager to assert its importance in the process of lowering tensions on the Korean Peninsula.
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"With Liu coming again to Washington, it is encouraging that the two sides find something to talk about after the loggerheads visit of the Americans to China last week", Lampton told the South China Morning Post.
This is the second informal summit Xi hosted after his last month's Wuhan summit with Prime Minister Narendra Modi during which Beijing said the two leaders reached "important consensus" and drew blueprint for future cooperation.
In the past, North Korean leaders have been reluctant to travel by air on worldwide journeys, especially Kim's father, Kim Jong Il, who famously went everywhere in his personal armored train.
In a cordial and friendly atmosphere, the two leaders had an all-round and in-depth exchange of views on China-North Korea relations and major issues of common concern, it said.
China sees the US's missile defenses and forces in South Korea as a serious threat and a mechanism to contain Beijing.
The escalation began as an effort by Trump to reverse the trend of rising trade deficits the USA has with China, which hit a record US$375 billion in 2017 and has continued rising this year.
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U.S. officials say Pompeo will press North Korea for the release of three detained American citizens, whose imminent release Trump has been hinting at. His trip comes just days after North Korea expressed displeasure with Washington for comments suggesting that US pressure had pushed Kim to the negotiating table.