South Korean President Moon Jae-in hopes that U.S. President Donald Trump and North Korean leader Kim Jong-un will meet each other again ahead of the Nov. 3 U.S. presidential election in order to reactivate the Korea peace process, a senior Cheong Wa Dae official said Wednesday.

Cheong Wa Dae has already conveyed Moon's idea to the White House in their "close communication" especially following the North's demolition of an inter-Korean liaison office in its border city of Kaesong in mid-June, according to the official.

"The U.S. side understands (Moon's position), and it's currently making efforts (for that), as far as I know," he told reporters on the condition of anonymity.

He refused to elaborate, saying it's not appropriate to make public details of such diplomatic consultations.

In a virtual summit with EU Council President Charles Michel and European Commission President Ursula von der Leyen the previous day, Moon reaffirmed his resolve to strive "with patience" to maintain the momentum of dialogue involving the U.S. and the two Koreas, the official added.

Moon stressed that the two Koreas should not revert from hard-won "progress and accomplishments" in their relations.