An ice sequestering container assembly includes a vessel having a bottom wall and a perimeter wall that is attached to and extends upwardly from the bottom wall. The perimeter wall has an upper edge defining an access opening extending into the vessel. A screen is mounted in the vessel that traverses an interior of the vessel to define an upper portion and a lower portion within the interior. The upper portion is positioned above the screen and includes the access opening. The screen is positioned nearer to the access opening than the bottom wall. The screen has a plurality of apertures therein to allow fluid to pass through the screen. The plurality of apertures includes at least five apertures and the apertures each have an area less than 1.0 cm2. The screen prevents ice from moving from the lower portion into the upper portion when the ice is positioned in the bottom section and the vessel is filled with a fluid.