The DPRK top leader Kim Jong-un and US President Donald Trump are set to continue talks in Hanoi on Thursday.

They began the meeting at 9:10 am (local time) at the Sofitel Legend Metropole Hanoi in the Vietnamese capital for one-on-one talks.

At 10:00 am, Trump and Kim emerged in the Metropole hotel's pool garden, where they were joined by US Secretary of State Mike Pompeo and a senior official of the Workers' Party of Korea Kim Yong-chol. The group then went into another room and sat down around a table for more talks.

US President Donald Trump said again on Thursday that he is in "no rush" with the DPRK, suggesting a long road ahead to denuclearization.

"Speed is not that important. To me, I very much appreciate no testing of nuclear rockets and missiles," he said at the start of one-on-one talks with Kim Jong-un, top leader of the Democratic People's Republic of Korea.

"Again, I am in no rush. We don't want the testing, we've developed something very special with respect to that," he said.

After holding a working lunch, the two leaders plan to sign a joint statement around 2 pm. It remains uncertain whether their joint statement will contain a plan for concrete denuclearization steps.

DPRK's Korean Central News Agency reported on Wednesday that the two leaders are eyeing a "comprehensive and epoch-making" accord.

"Sincere and deep opinions were exchanged with a view to making comprehensive and epoch-making results in the talks in order to meet the interest and expectation of the whole world for the successful Hanoi summit," the KCNA said, referring to their first-day meeting.

On Wednesday, Kim and Trump held around half an hour of one-on-one talks, the first day of their two-day summit, which was followed by a small group social dinner also involving their top aides.

Trump touted "great meetings" and "very good dialogue." Kim said he would do his best to produce a "great outcome" to be welcomed by all people.

It is reported that Trump also plans to brief reporters in person on the outcome of the second summit with Kim before heading back to Washington in the evening.