PYONGYANG, North Korea — North Korean leader Kim Jong Un said he is open to a third summit with President Donald Trump, but set the year’s end as a deadline for Washington to offer mutually acceptable terms for an agreement to salvage the high-stakes nuclear diplomacy, the North’s state-run media said Saturday.

Mr. Kim made the comments during a speech Friday at a session of North Korea’s rubber stamp parliament, which made a slew of personnel changes that bolstered his diplomatic lineup amid stalemated negotiations with the United States. His speech came hours after Mr. Trump and visiting South Korean President Moon Jae-in met in Washington and agreed on the importance of nuclear talks with North Korea.

“We of course place importance on resolving problems through dialogue and negotiations. But U.S.-style dialogue of unilaterally pushing its demands doesn’t fit us, and we have no interest in it,” Mr. Kim said during the speech.

According to the Korean Central News Agency, Mr. Kim blamed the collapse of his summit with Mr. Trump in February on what he described as unilateral demands by the United States, which he said raised questions over whether Washington has genuine willingness to improve relations. 

However, the North’s leader said his personal relationship with Mr. Trump remains good and that they could exchange letters at “any time.”

Mr. Trump responded to the remarks by saying he agreed with Mr. Kim about their relationship, and also expressed a desire for another summit.

“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,” Mr. Trump wrote on Twitter.

“North Korea has tremendous potential for ... extraordinary growth, economic success and riches under the leadership of Chairman Kim. 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!” he tweeted.

In his speech, Mr. Kim repeated earlier claims that North Korea’s crippled economy would persevere through heavy international sanctions imposed over its nuclear weapons program and that he wouldn’t “obsess over summitry with the United States out of thirst for sanctions relief.”

The United States has said the summit in Vietnam broke down because of the North’s excessive demands for sanctions relief in return for limited disarmament measures. In their first summit last June in Singapore, Mr. Trump and Mr. Kim issued a vague statement calling for a nuclear-free Korean Peninsula without describing when or how it would occur.

Mr. Kim said the United States has been refusing to withdraw what the North perceives as “hostile policies” while sticking to “mistaken judgment that we would succumb to maximum pressure.” He said the North would not compromise on the “fundamental interests of our country and people, even by a speck,” and blamed the United States for arriving in Hanoi with “completely unrealizable plans.”

First Published: April 14, 2019, 2:35 a.m.