Water-reconstitutable foodstuff refill for preparing beverages or the like

The invention relates to a refill of a pulverulent foodstuff that can be dispersed in a liquid medium that has been compacted into a solid form that can be abraded to form a powdered granules, flakes, or chips, and to a process for manufacturing the refills. These refills are used in a device for the on demand preparation of beverages or sauces from water-dispersible foodstuffs. The method of making the beverages or sauces represent another embodiment of the invention. The device includes one or more pressing units that urge one or more solid refills of a water-dispersible foodstuff towards one or more abrading devices so that the refill contacts the abrading device and the abrading device abrades the refill to provide an amount of powdered foodstuff that is collected in a collector and combined with water to provide the beverage.