During Mike Pompeo's visit to Pyongyang at the weekend he was said to have had had "productive talks" with North Korean leader and that a second summit between Kim and Trump would happen "at the earliest possible date".
"Most importantly, both the leaders believe there is real progress that can be made, substantive progress that can be made at the next summit and so we are going to get it at a time that works for each of the two leaders and at a place that works for both of them", he said.
The U.S. and North Korea agreed to have working-level groups to intensify discussions on delivering Trump and Kim's commitments from their Singapore summit, when the two sides promised to work toward denuclearization and improve relations. Beijing is Pyongyang's biggest worldwide benefactor and U.S. President Donald Trump has repeatedly suggested that his trade war with China was leading the country to relax pressure on the regime.
Pompeo wished Xi a happy birthday when the two met on a trip to Beijing in June.
There are doubts whether Kim is willing to fully relinquish his country's nuclear weapons, which he may see as a stronger guarantee of survival than whatever security assurances the United States could provide.
Pompeo's meeting in Beijing was the last stop of his Asia trip, meant to revitalise the stalled denuclearisation negotiations with Pyongyang, in particular, amid concerns that worsening Sino-US relations could undermine their cooperation on North Korea.
Trump has insisted the worldwide community must stick to the sanctions against North Korea until Kim denuclearises.
SpaceX satellite launch lights up the night sky and social media
The rocket lifted off at about 7:21 p.m. local time, and landed about 12 minutes later after delivering its package to orbit. But many were taken by surprise when the launch illuminated the sky, wondering what the otherworldly looking sight was.
He said those actions have affected trust between the US and China and that the United States should stop "this kind of mistaken action".
Although the meeting only last two hours, Secretary Pompeo tweeted afterward, "Had a good trip to #Pyongyang to meet with Chairman Kim", noting the leaders "continue to make progress on agreements made at Singapore summit".
Since the denuclearization effort got underway with a secret visit to the North by then-CIA chief Pompeo in April, there has been only limited progress, even since the June 12 Trump-Kim summit that many had hoped would jump-start the effort. He will meet the Pope and intends to relay the invitation.
The secretary of state's previous trip to North Korea, in July, did not go so well.
"I know that you would like to discuss the North Korea issue and other relational issues with me on this visit", Wang said.
The trade war between China and the U.S. is however being seen as a barrier to co-operation in the North Korean crisis.
"For Asia, the severity of China-U.S. frictions is taking up much attention and is, to some extent, diluting attention paid to the Korean peninsula issue", it said.
"Recently, as the USA side has been constantly escalating trade friction toward China, it has also adopted a series of actions on the Taiwan issue that harm China's rights and interests, and has made groundless criticism of China's domestic and foreign policies", Wang said at a joint appearance with Pompeo.