Kim and President Xi had a one-on-one chat, . where they reportedly exchanged opinions on the current situation and urgent worldwide issues.
Kim chose Beijing for his first official foreign trip in March and met Xi again in May in the northeastern port city of Dalian.
Shin Beom-chul, a senior fellow at the Seoul-based Asan Institute for Policy Studies, said Kim and Xi were likely seeking "common ground" following the Singapore summit. The visits to the two locations were also reported by Chinese media.
Pyongyang has said its missiles can reach the United States.
Pak, 79, who is also a member of the supreme Presidium of the Central Committee of the Workers' Party of Korea (WPK), was making his first visit to China, KCNA reported.
More than 35,000 Americans died on the Korean Peninsula and 7,702 are still missing in action, according to the Defense POW/MIA Accounting Agency.More news: South Korea seeks joint canoe team at Asiad
More news: Instagram launches IGTV to compete with YouTube and Snapchat
More news: Spurs won't trade Kawhi to a Western Conference team
-Chinese relations also serve to diminish the likelihood that China will continue to cooperate with the international-sanctions regime.
The president said the meeting with Kim was "wonderful." but the media refuses to cover the summit in an accurate light.
The pomp and circumstance looked geared toward showing off the major improvement in relations between the communist neighbours, along with China's important role in keeping North Korea on track. When the United Kingdom complained in 2011 that the alleged remains of a British fighter pilot were not a pilot, British, or human, the North Korean military replied, "Too bad". State television showed Kim visiting an agricultural technology park and rail traffic control centre in Beijing, accompanied by Beijing's top official, Cai Qi.
South Korea urged North Korea on Wednesday to present a plan with concrete steps toward denuclearization, raising the pressure on its leader Kim Jong Un as he met with Chinese President Xi Jinping in a visit created to convey the countries' growing closeness.
Mr Trump surprised officials in South Korea and the US after that meeting by saying he would end "provocative" joint US-South Korean military exercises.
"Xi said that since the reform and opening-up, the Chinese people have been courageous to carry out self-reform and innovation, on the basis of the national conditions and having the whole world in view, and have explored a development path suitable for China's national conditionsWe are happy to see that the DPRK made a major decision to shift the focus to economic construction, and the development of the DPRK's socialist cause has entered a new stage in history", Xi said, adding that China supports the DPRK's economic development, the improvement of people's livelihood, and its development path that accords with its national conditions.
Even among Republicans, just 25 percent say they're very confident that North Korea will eventually agree to a deal to give up its nuclear weapons.