By Jungeun Kim, CNN
Updated 8:49 AM ET, Sat May 26, 2018

Seoul, South Korea (CNN) The leaders of North and South Korea met Saturday for a second time, South Korea's presidency announced.

North Korean leader Kim Jong Un and South Korean President Moon Jae-in held a surprise meeting at the Demilitarized Zone, the South Korean presidency said in a statement.

The two leaders "exchanged their opinions" on among other things successfully carrying out a future US-North Korea summit, according to the statement. President Donald Trump canceled a June 12 summit with Kim this week, then told reporters Friday he's still open to a meeting.