A refrigeration appliance is provided which has a freezer compartment, a fresh food compartment and a refrigeration system for cooling the two compartments. Two evaporators operating at different temperatures, or a single evaporator operating at sequentially different temperatures is used in the refrigeration system to provide the cooling of the two compartments. An ice making device is provided in the fresh food compartment, thermally associated with the evaporator used to cool the fresh food compartment operating at a warmer temperature, such that ice is formed and stored in the fresh food compartment. Dispensing means extending through the door of the fresh food compartment are provided to allow for dispensing of ice through the fresh food compartment door.