SOUTH Korean President Moon Jae-in has returned home from a three-day summit with North Korean leader Kim Jong Un, saying that Kim wants the US secretary of state to visit Pyongyang soon for nuclear talks.

Kim also hopes for a follow-up to his June summit with Donald Trump and that a formal end to the Korean War can be agreed, his southern counterpart revealed.

Moon told reporters in Seoul that he will carry a private message from Kim to Trump on the nuclear stand-off when he meets with the US president next week.

“There are things that the United States wants us to convey to North Korea, and on the other side there are also things that North Korea wants us to convey to the United States,” Moon said.

“I will faithfully serve that role when I meet President Trump to facilitate dialogue between North Korea and the United States.”

Both Trump and the North Korean leader have expressed a desire to meet again, but there are worries among observers about whether Kim is as committed to denuclearisation as he claims.

But this week’s talks have been seen as successful for the countries.

The leaders agreed to establish buffer zones along their land and sea borders to reduce military tensions, withdraw 11 guard posts from the DMZ by December and allow families separated by the border more contact.