An apparatus and method for making frozen food products from a fruit puree, i.e. a flowable banana meat or a flowable blend of fruit meat and other edible ingredients. A composition that includes peeled bananas and at least one antioxidant may be mixed in a mixing device at ambient temperature and under less than one atmosphere of pressure, forming the puree. The temperature of the puree is reduced to a semi-frozen state by passing the puree through a heat exchanger. The semi-frozen puree is then formed into food products with a pre-determined volume, shape, and weight by a molding or extrusion process. Sticks, if desired, may be inserted, and the shaped puree is then frozen to solidified cores. The solidified cores may be coated with chocolate and treated with other edible toppings and then packaged.