A capsule for beverages with a casing which includes a base wall and a side wall defining a cavity for combining an initial product and a fluid to obtain an end product, and an edge extending from the side wall. The capsule includes a covering element fixed to the edge to close the cavity hermetically, which is pierceable by an extracting element of a dispensing machine. The casing is made by forming a sheet of thermoformable plastics. The edge includes a sealing element with a protrusion facing the base wall that is obtainable by the sheet forming a further cavity suitable for containing a fluid. The covering element is fixed to also seal hermetically the further cavity to create a cushion that is deformable between the edge and the covering element that defines the sealing element arranged for sealingly engaging, when compressed, with an abutting element of a dispensing machine.