"We shared the view that it is more important than ever to keep close cooperation among the three countries," South Korea's nuclear envoy Kim Hong-Kyun told reporters after the meeting in Seoul.
The three envoys get together regularly in each other's capitals and one of their main aims is to shape and maintain a consensus on how best to deal with the growing nuclear weapons threat from Pyongyang.
The trio's meeting in Seoul on Tuesday was the first since the eruption of a major political scandal in South Korea that resulted in parliament voting last week to impeach President Park Geun-Hye.
Park took a hard line with North Korea and was a staunch ally of Washington's policy of "strategic patience" -- essentially a refusal to engage in any significant dialogue unless Pyongyang made some tangible commitment to denuclearisation.
Although Park's impeachment still requires approval by the Constitutional Court, most observers are betting on an early election that could result in a more pro-engagement president entering the Blue House.
In a recent interview that drew expressions of deep concern from Beijing, Trump questioned Washington's traditional "one China policy" -- the cornerstone of decades of Sino-American diplomacy.
Adherence to the policy should be linked to other bilateral issues, Trump argued, citing the need for China to do far more to help pressure North Korea into abandoning its nuclear weapons programme.
"There are, to be frank with you, important domestic transitions going on both in Washington and Seoul and I'm sure like everyone else, North Koreans are watching those transitions carefully," the US nuclear envoy Joseph Yun told reporters in Seoul.
"But so far of course we have not seen any signs that they want to engage," he added.
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