A machine for making filled pasta products, comprising a first feeding device for feeding a first layer of pasta dough and a second feeding device for feeding a second layer of pasta dough; a shaping device for shaping the filled pasta products, located downstream of the first and second feeding devices (9, 10), with reference to the direction of unrolling the first and second layers (7, 8) of pasta dough; the shaping device being configured to advance the first and second layers (7, 8) of pasta dough and being also configured, while it advances them, to shape the first and second layers (7, 8) in such a way as to receive a respective filling and to join the first and second layers (7, 8) of dough in a respective joining zone; the shaping device being configured to cut the first and second layers (7, 8), individually separating each product from the first and second layers (7, 8) of dough; wherein the shaping device comprises a first and a second advancing and shaping roller (23, 24) for the first and the second layer (7, 8), respectively, disposed to face and be tangent to each other at a coupling station for coupling the first and the second layer (7, 8) around a respective filling wherein the first roller and the second roller each comprise a respective supporting roller (45, 46) having on its peripheral surface respective moulds (23b, 24b) for shaping the respective first and second layers of dough (7, 8); wherein the moulds (23b, 24b) of the first and second roller (23, 24) comprise respective hollows (37, 38) which are shaped to receive the respective layers of dough (7, 8) and respective pressing zones (53, 54) for pressing the respective first and second layer of dough (7, 8) and surrounding the respective hollow (37, 38); characterised in that the moulds (23b; 24b) are each configured to be assembled to and disassembled from the respective supporting roller (45, 46). a shaping device for shaping the filled pasta products, located downstream of the first and second feeding devices (9, 10), with reference to the direction of unrolling the first and second layers (7, 8) of pasta dough; the shaping device being configured to advance the first and second layers (7, 8) of pasta dough and being also configured, while it advances them, to shape the first and second layers (7, 8) in such a way as to receive a respective filling and to join the first and second layers (7, 8) of dough in a respective joining zone; the shaping device being configured to cut the first and second layers (7, 8), individually separating each product from the first and second layers (7, 8) of dough; wherein the shaping device comprises a first and a second advancing and shaping roller (23, 24) for the first and the second layer (7, 8), respectively, disposed to face and be tangent to each other at a coupling station for coupling the first and the second layer (7, 8) around a respective filling wherein the first roller and the second roller each comprise a respective supporting roller (45, 46) having on its peripheral surface respective moulds (23b, 24b) for shaping the respective first and second layers of dough (7, 8); wherein the moulds (23b, 24b) of the first and second roller (23, 24) comprise respective hollows (37, 38) which are shaped to receive the respective layers of dough (7, 8) and respective pressing zones (53, 54) for pressing the respective first and second layer of dough (7, 8) and surrounding the respective hollow (37, 38); characterised in that the moulds (23b; 24b) are each configured to be assembled to and disassembled from the respective supporting roller (45, 46).