The delegation of the delegation of South Korea delivers a letter to Kim Jong-un before the summit

A TV screen in Seoul shows South Korean President Moon Jae-in and North Korean leader Kim Jong-un.

A high-level delegation from South Korea met with Kim Jong-un in Pyongyang on Wednesday, while Seoul plans a new summit with the North Korean leader to break a stalemate in the denuclearization talks.

The special envoy of the president of the South, Moon Jae-in, Chung Eui-yong, who leads the five-member delegation, said earlier that he would discuss ways to "completely denuclearize" the Korean peninsula and establish a "lasting peace".

His delegation "met with President Kim Jong-un and delivered a personal letter (from Moon) and exchanged views," said a spokesman for the presidential office in Seoul.

The spokesman added that officials will fly back to Seoul later tonight after a dinner banquet, but did not provide further details.

US President Donald Trump and North Korean leader Kim Jong-un came to a vague agreement at a landmark summit in June to work on the denuclearization of the Korean peninsula, but since then there have been few moves.

The talks came to a standstill last month when Trump abruptly canceled Secretary of State Mike Pompeo's trip to North Korea, citing a lack of progress.

The stated goal of the South Korean delegation's visit to Pyongyang is to finalize details of a third summit between the leaders of the two Koreas, to be held later this month.

But observers said Moon's personal letter to Kim will likely be a proposal aimed at breaking the deadlock of denuclearization.

The envoy is likely to suggest "that Kim is firmly committed to submitting a list of nuclear weapons and fissile materials demanded by the US in exchange for a declaration of the end of the Korean War," Yang Moo-jin said. Northern University. Korean studies told AFP.

Despite the stalemate with the North, Trump expressed hopes for the success of the upcoming inter-Korean summit in a telephone conversation with Moon on Tuesday.

Pyongyang has criticized Washington's demands for "gangsterism" for complete, verifiable and irreversible disarmament, and accused it of failing to correspond to the "goodwill measures" of the North, including handing over the remains of US troops killed in the war. Korean War of 1950-53.

When Kim and Moon met in April for their first summit, they agreed to press for Washington to declare the end of the Korean War, to replace the 1953 armistice.

But US officials say the North must get rid of its nuclear weapons before that can happen.

The International Atomic Energy Agency reported last month that there is no indication that North Korea has halted its nuclear activities.