WASHINGTON — US President Donald Trump said on Saturday that his possible third summit with Kim Jong-un, the top leader of the Democratic People's Republic of Korea (DPRK), would be good in that both Washington and Pyongyang could fully understand their stands on a group of issues.

"I agree with Kim Jong-un of North Korea that our personal relationship remains very good, perhaps the term excellent would be even more accurate, and that a third Summit would be good in that we fully understand where we each stand," Trump tweeted.

Noting that the DPRK has tremendous potential for economic success under Kim's leadership, Trump said, "I look forward to the day, which could be soon, when Nuclear Weapons and Sanctions can be removed, and then watching North Korea become one of the most successful nations of the World!"

The DPRK's official Korean Central News Agency earlier on Saturday quoted Kim as saying that he is willing to meet Trump again on certain conditions.

"It is necessary for both sides not to table their unilateral demands but find out a constructive solution to meet each other's interests," Kim said.

Blaming the United States for only considering its own interests during the second DPRK-US summit in Vietnam's Hanoi in February, the top leader said he will "wait for a bold decision" from Trump "with patience till the end of this year."

Trump said on Thursday that a third summit with Kim could happen and "it's step by step" and "not a fast process."

He also left possibility open that a three-way summit with Kim and South Korean President Moon Jae-in "could happen also," but admitted that would largely depend on Kim.

Earlier on Wednesday, Wu Haitao, China's deputy permanent representative to the United Nations, said for dialogue to continue and make headway, the key is to address the legitimate concerns of the parties concerned in a balanced manner, and advance denuclearization and the establishment of a peace mechanism for the peninsula by following a phased approach with synchronized steps as a package solution.