President Donald Trump has renewed outreach to North Korean leader Kim Jong-un through public statements and gestures, including scaled-back U.S.-South Korea military exercises in August and repeated expressions of interest in a meeting by year-end, potentially around the November APEC summit in China. South Korean President Lee Jae-myung has urged dialogue during sideline talks with Trump at the UN General Assembly, while U.S. officials maintain openness without preconditions. North Korea has denied direct contacts, rejected denuclearization demands as irreversible, and continued short-range missile tests, though it has avoided harsh rhetoric against Trump. These dynamics, alongside Pyongyang's strengthened ties with Russia and China, shape trader assessments of whether a bilateral diplomatic meeting will occur within the resolution window.