SEOUL, South Korea — Senior officials from North and South Korea will meet next week to discuss the possibility of a third summit meeting between their countries’ leaders, the South said on Thursday.

The North Korean leader, Kim Jong-un, and President Moon Jae-in of the South have already met twice this year, in April and in May. South Korean officials have recently expressed interest in holding a third meeting soon, in hopes of breaking an impasse between North Korea and the United States over the dismantling of the North’s nuclear arms program.

Mr. Moon has accepted an invitation from Mr. Kim to visit Pyongyang, the North’s capital, in the fall. But no date has been set, and it is unclear whether the proposed third summit would be held there. A meeting at Panmunjom, the so-called truce village on the inter-Korean border where the previous talks were held, would take much less time to arrange.

The South’s Unification Ministry said on Thursday that North Korea had proposed holding ministerial-level talks at Panmunjom on Monday to discuss preparations for another summit meeting, and that South Korea had quickly accepted the offer.