A machine (1;20;30) for the thermal processing of unpackaged products, in particular food products, comprising a vat (2) with lateral walls (3;5,22) for containing the product; a heat exchanger (4), coupled to the vat (2) and supported by said lateral walls (3;5,22), with at least one heat exchange surface (3;5,22) for product contact; scraping means (6), coupled to and moveable with respect to said heat exchange surface (3;5,22). At least one such heat exchange surface (3;5,22) is essentially cylindrical in shape; said scraping means (6), comprising springing means (7) and provided with at least one straight scraping edge (8) capable of coming into elastically sprung contact with at least one such heat exchange surface (3;5,22).