A domestic appliance apparatus having a container is connectable to a fluid-containing reservoir that includes a movable actuator for activating a pump for dispensing the fluid. The reservoir is put in communication with the container and the actuator is activated by an auxiliary device to transfer a quantity of fluid from the reservoir to the container. The auxiliary device includes a housing which accommodates a holder for holding the reservoir and an actuator driver for activating the actuator. The auxiliary device may be part of a refilling assembly, which also includes the reservoir and/or the refillable container.