President Trump has actively signaled interest in a fourth summit with Kim Jong Un before year-end, including scaled-back U.S.-South Korea military exercises in August and public statements of openness to talks without preconditions during his September meeting with South Korean President Lee Jae-myung. North Korea has responded with muted rhetoric rather than outright rejection, while continuing nuclear advancements and seeking recognition as a nuclear state. The APEC summit in China in November offers a potential venue, though Beijing has shown limited enthusiasm for facilitating engagement amid higher-priority U.S.-China issues. South Korean intelligence assesses roughly even odds around that timeframe, reflecting Pyongyang's stronger position bolstered by ties with Russia and the persistent U.S. emphasis on complete denuclearization as a core barrier.