But it is Mr Kim's pursuit of nuclear weapons that gives his meeting with Mr Trump such high stakes.
Trump said earlier the Tuesday summit with Kim on a Singapore resort island could "work out very nicely" as officials from both countries sought to narrow differences on how to end a nuclear stand-off on the Korean peninsula.
One dispatch by the Korean Central News Agency said North Korea and the U.S. would exchange "wide-ranging and profound views" on establishing new relations, building a "permanent and durable peace-keeping mechanism", achieving denuclearisation and "other issues of mutual concern, as required by the changed era".
Separately, UN Secretary General Antonio Guterres on Monday said the UN would assist both parties in the talks, including verifying North Korean denuclearisation, if asked.
Although gaps remain over what denuclearisation would entail, Trump sounded a positive note in a lunch meeting with Singapore's Prime Minister Lee Hsien Loong.
Mr Trump and Mr Kim are set to meet on Tuesday morning in the first summit of its kind between a leader of North Korea and a sitting United States president.
"I can only say this, " Pompeo said.
A USA official, speaking on condition of anonymity, said Monday's meeting appeared aimed at making 11th-hour progress ahead of the summit since Sung Kim's earlier talks did little to narrow a gap between the two sides on the definition of denuclearisation or win agreement on tangible commitments from Pyongyang toward dismantling its nuclear arsenal.
Trump will also speak with reporters in Singapore before departing for home.
"We don't know. Kim might also want security assurances from China, Russia, and the United Nations Security Council", Kovrig said.
Pope Francis has prayed that the summit this week between the US and North Korean leaders succeeds in laying the groundwork for peace.
A second round of meetings is planned for the afternoon as officials work to lay the groundwork for progress on Tuesday.
The meetings also served as an ice-breaker of sorts as the teams worked to get better acquainted after decades of minimal US-North Korean contact.
The President announced he would withdraw from a trade agreement with USA allies. Past nuclear deals have crumbled over North Korea's reluctance to open its doors to outsiders.
Kim also met Lee on Sunday, after arriving in Singapore.
Pompeo, the former Central Intelligence Agency director, spent the morning preparing with his top advisers, aides said. Trump is to be joined by Pompeo, chief of staff John Kelly, national security adviser John Bolton and a few others.
The motorcade carrying North Korean leader Kim Jong-un, drives past on the street in Singapore on June 10, 2018.
What was initially portrayed by the White House as a summit meant to completely rid the North of its nuclear weapons is now being cast as a chance to "start a dialogue" and for Trump the dealmaker to look into the eyes and take the measure of his nuclear-armed antagonist.
"I think the minimum would be a relationship".
"I don't think I have to prepare very much", Trump said bluntly during a press conference Thursday.
Such treats are unheard of for most North Koreans, even for government officials, who have seen their chances of overseas travel wither in recent years as their country's isolation has increased under sanctions imposed over its nuclear and missile programs.
Soon after touching down in the city, Kim met Singapore's Prime Minister, who has spent $15 million (20 million Singapore dollars) to host the summit.
Earlier, Trump tweeted it was "great to be in Singapore, excitement is in the air".
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