A refrigerator appliance includes a cabinet that defines a fresh food chamber and a freezer chamber. A door is rotatably mounted to the cabinet at a front portion of the fresh food storage chamber. The door includes an outer casing. The outer casing includes a thermally insulated wall that defines a flexible chamber. The door also includes a front panel rotatably mounted to the outer casing such that the front panel permits access to the flexible chamber when the door is in the closed position. The refrigerator appliance also includes a sealed cooling system. The sealed cooling system includes a first evaporator in fluid communication with the flexible chamber and the fresh food chamber. The sealed system also includes a second evaporator in fluid communication with the freezer chamber.