Meanwhile, North Korea had yet again defied United Nations resolutions banning it from developing ballistic missile technology with another test-launch on the eve of Trump's summit with the Chinese leader, Xi Jinping, in Florida last week.
However, Wednesday's read-out was the first time China confirmed in detail that the two leaders had directly discussed North Korea.
"This is a rogue regime that is now a nuclear-capable regime, and President Xi and President Trump agreed that that is unacceptable", national security adviser H.R. McMaster said on Fox News Sunday.
North Korea's parliament convened Tuesday amid heightened tensions on the divided peninsula, with the United States and South Korea conducting their biggest-ever military exercises and the USS Carl Vinson aircraft carrier heading to the area in a show of American strength.
"We will hold the USA wholly accountable for the catastrophic consequences to be entailed by its outrageous actions", a spokesman for its Foreign Ministry was quoted as saying by the state-run Korean Central News Agency.
"China insists on realizing the denuclearization of the peninsula, insists on maintaining peace and stability on the peninsula, and advocates resolving the problem through peaceful means", Xi was quoted as saying.
The two leaders met for the first time last week at Trump's Mar-a-Lago estate in Florida.
Regarding the USA navy strike force's arrival in the western Pacific, Lu said: "We hope all parties will refrain from irresponsible actions that would be very unsafe at the moment".
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The Japanese government has repeatedly asked the US government to coordinate their North Korea policies.
Here in Seattle we obviously have an interest in keeping intercontinental ballistic missiles out of North Korea because we are such a close target. "If China decides to help, that would be great".
A high-ranking Japanese government official said: "If [the United States] undertakes military action, we have asked them to offer prior consultation".
On the other hand, USA bases in Japan are believed to be points from which US forces would be deployed and logistic support provided.
Earlier Tuesday, Trump tweeted that he tried to persuade Xi to put pressure on North Korea in exchange for a good trade deal with the U.S.
Trump ordered the USS Carl Vinson aircraft carrier group to head to the Korean peninsula in an attempt to deter North Korea's nuclear and long-range missile ambitions, which it is developing in defiance of United Nations resolutions and sanctions.
The U.S. and other foreign governments have long overestimated China's ability to affect Pyongyang's behavior, said Ruan Zongze, a U.S. relations expert at the China Institute of International Studies, a think tank run by the foreign ministry. "China isn't really as influential as all that", he said. Initial reports from state media said the meeting went through domestic issues, with Premier Pak Pong Ju making a speech about the latest five-year economic plan, which was announced last year.
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