A method for making an intermediate component (11) of a single use capsule (1) for extraction or infusion beverages includes the step of: arranging a first strip (S1) of thermoformable filtering material above rigid bodies (2); joining the first strip (S1) of thermoformable filtering material to the rigid bodies (2) at respective rims (7); forming the first strip (S1) of thermoformable filtering material to achieve a filter (8) that defines a chamber (5) for a dose of product. A machine for making intermediate components of single use capsules (1) for extraction or infusion beverages includes: a feeding system (40); a transport system (50); a joining station (60); and a forming station (70).