(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.

(Reporting by Tim Ahmann and Lucia Mutikani in Washington; Editing by Susan Thomas)