SEOUL, Sept. 20 (Xinhua) -- South Korean President Moon Jae-in said Thursday that Kim Jong Un, top leader of the Democratic People's Republic of Korea (DPRK), had expressed his hope to rapidly hold his second summit with U.S. President Donald Trump during the inter-Korean summit in Pyongyang.

Moon made the remarks in his address to the people at the Seoul press center for the Pyongyang summit, which lasted for three days from Tuesday.

Moon said he also hoped that the DPRK-U.S. dialogue would be resumed rapidly, noting that conditions were created via the Pyongyang summit to restart the talks between the DPRK and the United States.

The DPRK called for Moon to broker talks between Pyongyang and Washington, offering to closely cooperate with South Korea for the peninsula's complete denuclearization, the South Korean president said.

During the phone call before Moon's visit to Pyongyang, Trump called for Moon to play a role as chief negotiator between the DPRK and the United States for the denuclearization negotiations.

Moon said the DPRK leader repeatedly confirmed his firm commitment to the peninsula's denuclearization during their third summit in Pyongyang.

After the summit talks, Moon and Kim agreed to further steps for the denuclearization of the Korean Peninsula and concrete measures to end hostile acts near inter-Korean border areas.

Moon and Kim have held summit meetings three times this year, including the ones on April 27 and May 26 each. Kim promised to visit Seoul for the fourth summit with Moon in the near future.

Kim and Trump held the first-ever DPRK-U.S. summit in Singapore on June 12.