SEOUL, South Korea (AP) — South Korea on Tuesday offered high-level talks with rival North Korea to find ways to cooperate on next month's Winter Olympics in the South. Seoul's quick proposal following a rare rapprochement overture from the North a day earlier offers the possibility of better ties after a year that saw a nuclear standoff increase fear of war on the Korean Peninsula.

In a closely watched New Year's address, North Korean leader Kim Jong Un said Monday that he was willing to send a delegation to the Olympics, though he also repeated fiery nuclear threats against the United States...