Abstract: Disclosed is a heat-preserving appliance for cups or other vessels having a saucer in which fuel, a wick for assisting the combustion of the fuel and a support member for supporting a cup or the like are detachably mounted. As the fuel is burnt while the cup is placed on the saucer, the temperature of the contents of the cup is maintained by a weak flame for the desired time length. The saucer can have a shape, construction and design selected to match those of the cup or the like, so as to be used on a dining table without spoiling the atmosphere of the dinner.