 Durango's News Talk Station, KDGO, Durango weather. In Durango, an overnight temperature of 60 degrees with mostly cloudy conditions, winds ranging from 5 to 9 miles per hour, and tonight a 13% chance of precipitation. Transitioning into Sunday morning, a high of 81 degrees, not as warm conditions with some sun in spots, then turning cloudy. A couple of afternoon showers with a 36% chance of thunderstorms, winds ranging from 8 to 13 miles per hour, and an overall 67% chance of precipitation.