Visits to Pyongyang by US Secretary of State Mike Pompeo, and other contacts with North Korean officials, have made little apparent leeway regarding how denuclearization should proceed.
Mr Kim's invitation will be formally delivered by President Moon of South Korea when he visits the Vatican.
North Korea is very interested in reaching some sort of agreement on denuclearization so that it can grow economically with the benefit of the foreign investment closed to it now, Trump said.
Last time Pompeo went to North Korea, Kim ditched him and instead toured a potato farm. [L4N1WP2AI] The pope is expected to visit Japan next year.
"Yao is a star among North Koreans", Lu Chao, a research fellow at the Liaoning Academy of Social Sciences, told the newspaper - later adding that the Chinese player would probably have a bigger impact than Rodman in North Korea.
Trump's response when he was asked about Kang's comments implied friction between the allies over the pace of inter-Korean engagement amid concerns in Washington that North Korea is lagging behind in its supposed promise to denuclearize.
Rodman's unexpected diplomatic turn may be hard to beat.
Kim, an avowed National Basketball Association fan who met former Chicago Bull Dennis Rodman several times in Pyongyang, was not present. Rodman later said Kim was a "friend for life".
The Chinese sports delegation, including male and female players, arrived in Pyongyang on Monday afternoon before North Korea's Party Foundation Day on Wednesday, marking the 1945 foundation of the precursor of the ruling Workers' Party of Korea.
3 takeaways from ALDS Game 4
Porcello needed only 25 pitches to get through New York's lineup the first time and entered the fifth inning with only 40 pitches. Dominant closer, three-run lead, what could go wrong? "It's unbelievable", adds Didi Gregorius of the Stadium atmosphere.
North Korea's constitution guarantees freedom of religion as long as it does not undermine the state. There was speculation during that trip that Rodman might be acting as an unofficial envoy for the Trump administration, though members of the administration denied this.
The high-profile sporting display of friendship followed in the footsteps of inter-Korean sport.
Noh said the move represents close communication among the three sides over the security conditions in Korea. Earlier, the president had said discussions about a second summit were progressing and that details "won't be too far away".
A key point in the administration's defence of its North Korea diplomacy is that sanctions remain in place and that the Kim regime continues demilitarization talks with South Korea.
During Moon's visit to North Korea last month, he and Kim agreed to normalize operations at the Kaesong factory park and resume joint tours to North Korea when possible, voicing optimism that worldwide sanctions could end and allow such projects.
Trump has encouraged United States allies to maintain sanctions on North Korea until it denuclearises as part of what his administration has termed a campaign of "maximum pressure" against Kim Jong-Un's government.
Senior North Korean officials including sports minister Kim Il-guk and foreign affairs minister Ri Su-yong were also at the game.