A USA administration official on Sunday said that the United States had "confirmed that Kim Jong-un is willing to discuss the denuclearization of the Korean Peninsula".
But we have a meeting that is being set up with North Korea.
Trump said Monday he planned to meet Kim in "May or early June".
The Korean Times' report of the dinner speculates that Mr Chung felt comfortable asking the question because in Korea, age is still taken much like rank - the the older the person, the more senior they are.
The confirmation follows what seems to be weeks of backchannel diplomatic efforts between the United States and the North Korean government, with the US effort being led primarily by the Central Intelligence Agency (CIA).
Nuclear deals with the North from the now suspended six-party talks fell apart amid a controversy over the sequence of agreed-upon actions.
South Korean diplomats who had just returned from a visit to Pyongyang relayed Kim's initial invitation to Trump.
That was the first time Kim has left the North since assuming power in 2011 and was also his first meeting with another head of state.
Shortly afterward, their leader Kim Jong-un was doing the same at an official concert in Pyongyang.
Neither of the officials would say when or how the contact took place, nor in what location.
Since sending a high-profile delegation along with athletes to the Winter Games in the South in February, Kim has made his global debut with a visit to Beijing, his first overseas trip since taking power in 2011.
"They've said so; we've said so", the president said.
"North Korea is striving to improve ties with the South and the United States to end its status as a pariah country and establish itself as a normal state". On April 4, 2018, Kang told reporters that Seoul maintains a "firm stance" on the dire human rights situation in the North, but that to include the issue in the agenda the government will need more preparation.