FPUS43 KBIS 272012 City Forecast for Williston, ND Issued Saturday afternoon - Aug 27, 2011 .Saturday night... Low 60, 20% chance of precipitation. .Sunday... Partly cloudy, high 88, 20% chance of precipitation. .Sunday night... Low 57, 5% chance of precipitation. .Monday... Sunny, high 82. .Monday night... Low 61.