The present disclosure relates to a method for producing an oral pouched snuff product comprising a filling material (29, 10) and a saliva-permeable pouch (43) enclosing the filling material (29, 10), the product (29, 10) having a moisture content of at most 20% by weight, in particular at most 10% by weight, based on total weight of the product (29, 10), the saliva-permeable pouch (43) having one or more seals (45, 46), and said filling material (29, 10) comprising at least 20% by weight, based on dry weight of the filling material (29, 10), of at least one ingredient having a melting temperature below 180° C., the method comprising ultrasonically welding and cutting an advancing web (32) of packaging material (7) to which the filling material (29, 10) has been supplied. The present disclosure also provides an oral pouched snuff product which is obtainable by this method.