South Korean President Moon Jae-in shakes hands with North Korean leader Kim Jong Un during their summit at the truce village of Panmunjom, North Korea, in this handout picture provided by the Presidential Blue House on May 26, 2018. The Presidential Blue House /Handout via REUTERS

(Reuters) - North Korean leader Kim Jong Un expressed “his fixed will” on a possible June 12 summit with U.S. President Donald Trump in a meeting on Saturday with the president of South Korea, North Korea’s state news agency said.

During what it called in-depth discussions, Kim and South Korea’s Moon Jae-in agreed to hold high-level talks between their two nations on June 1, news agency KCNA said.