Composition comprising: - from 40 to 90%, preferably from 50 to 90%, by weight, of at least one rigid biodegradable (co)polyester, based on the total weight of the composition, - from 10 to 49% by weight of at least one flexible biodegradable (co)polyester based on the total weight of the composition, - from 0.5 to 10% by weight of a vinyl polymer, based on the total weight of the composition, said composition being characterised in that - the difference in melting temperatures between the two biodegradable (co)polyesters with the furthest apart melting temperatures is less than 25°C, preferably less than 15°C, most preferably less than 10°C, the melting temperatures being determined according to ISO 3146, - the difference in melt flow rates between the two biodegradable (co)polyesters with the furthest apart melt flow rates is less than 5g/10min, preferably less than 3g/10min, the melt flow rates being determined according to ISO 1133, a rigid (co)polyester being a polymer with a modulus of rigidity greater than 500 MPa, preferably greater than 600 MPa and an elongation at break of less than 300%, preferably less than 250%, a flexible (co)polyester being a polymer with a modulus of rigidity greater than 850 MPa, preferably greater than 700 MPa and an elongation at break of less than 100%, preferably less than 200%, the moduli of rigidity and elongation at break being determined according to NF EN ISO 527-1, when the composition comprises a biodegradable (co)polyester with a stiffness modulus of between 500 and 850 MPa and an elongation at break of between 100 and 300%, then it also contains either at least one (co)polyester with a stiffness modulus of more than 850 MPa and an elongation at break of less than 100% or at least one (co)polyester with a stiffness modulus of less than 500 MPa and an elongation at break of more than 300%. - from 40 to 90%, preferably from 50 to 90%, by weight, of at least one rigid biodegradable (co)polyester, based on the total weight of the composition, - from 10 to 49% by weight of at least one flexible biodegradable (co)polyester based on the total weight of the composition, - from 0.5 to 10% by weight of a vinyl polymer, based on the total weight of the composition, said composition being characterised in that - the difference in melting temperatures between the two biodegradable (co)polyesters with the furthest apart melting temperatures is less than 25°C, preferably less than 15°C, most preferably less than 10°C, the melting temperatures being determined according to ISO 3146, - the difference in melt flow rates between the two biodegradable (co)polyesters with the furthest apart melt flow rates is less than 5g/10min, preferably less than 3g/10min, the melt flow rates being determined according to ISO 1133, a rigid (co)polyester being a polymer with a modulus of rigidity greater than 500 MPa, preferably greater than 600 MPa and an elongation at break of less than 300%, preferably less than 250%, a flexible (co)polyester being a polymer with a modulus of rigidity greater than 850 MPa, preferably greater than 700 MPa and an elongation at break of less than 100%, preferably less than 200%, the moduli of rigidity and elongation at break being determined according to NF EN ISO 527-1, when the composition comprises a biodegradable (co)polyester with a stiffness modulus of between 500 and 850 MPa and an elongation at break of between 100 and 300%, then it also contains either at least one (co)polyester with a stiffness modulus of more than 850 MPa and an elongation at break of less than 100% or at least one (co)polyester with a stiffness modulus of less than 500 MPa and an elongation at break of more than 300%.