North Korea will "make efforts for the second summit between (North Korean) and USA leaders to achieve results that will be welcomed by the global community", Kim was quoted as saying by China's official Xinhua News Agency.
At Tuesday's daily Foreign Ministry briefing, spokesman Lu Kang said details of Kim's visit would be released "in due course".
The DongA Ilbo newspaper said that Xi hosted Kim at a banquet, which was held on the date believed to be North Korean leader's 35th birthday.
Kim visited a factory of Chinese traditional pharmaceutical company the next morning and returned to the state guest house.
"On Secretary Pompeo's visit to North Korea, we don't have any travel to announce at all", US State Department spokesperson Katina Adams said in response to Radio Free Asia's request for comment Tuesday. "If he wants to shift his focus to the development of the economy, he needs China's cooperation", said Mr Lu Chao, a North Korea expert at China's Liaoning Academy of Social Sciences.
A majority of Donald Trump's administration does not want to achieve a peace agreement with North Korea, as they wish to keep troops in South Korea and form a "strategic encirclement" of China, contends a former United States diplomat.
But his looming summit with Mr Trump is a pressing issue.
Relations between China and North Korea had deteriorated in recent years over Pyongyang's nuclear activities, but ties appear to have warmed, with Kim meeting Xi 3 times last year to pay his respects and keep him informed about developments. "We have maintained close communication and shared information", he added.
China also wants the sanctions relaxed and Xi said it "hopes that the DPRK and the United States will meet each other halfway" according to China's state news agency Xinhua, using the initials of the North's official name.
Mr Kim chose China for his maiden official trip overseas previous year before holding meetings with South Korean President Moon Jae-in and Mr Trump.
Despite starting his Presidency with explosive rhetoric against Kim, Trump has changed his tone considerably, and even went so far as to say "we fell in love" in September previous year.
Kim and President Trump signed a vague agreement during their historic summit in Singapore last June that calls on Pyongyang to abandon its nuclear program.
Kim's visit coincided with negotiations between USA and Chinese officials in Beijing to resolve a bruising trade dispute between the world's two largest economies that has roiled financial markets.
Analysts here said the North Korean leader is seeking to strengthen its negotiating position by aligning the country and China ahead of his meeting with Trump.
Pyongyang wants Washington to lift the sanctions the United Nations imposes on the country because of its nuclear and missile programmes.
Meanwhile, the USA and China have agreed to a temporary ceasefire on new tariffs at the G20 meeting, amid an escalating trade war between them.
Trump earlier said that the United States and North Korea are in talks over where to hold their second summit and a decision on the venue will be announced in the "not-too-distant future".