Appliance for the transfer of biomedical fluids between hospital receptacles (R, P), suitable for taking, transporting and dispensing doses of biomedical fluid, comprising: - at least a syringe device in turn comprising a hollow syringe body for containing said biomedical fluid, and also comprising at least one sliding piston fitted sealed in said syringe body, the latter comprising a first end, which has joining means for putting in communication its inside with that of a hospital receptacle (R, P), and a second open end; - at least a grippable operating device, comprising a fastening seat which can be coupled in a removable way to said second end of the syringe device, the operating device comprising a thrust rod suitable for sliding longitudinally through said second end, following the coupling between said syringe device and said operating device; - temporary fastening means for coupling said rod to said piston in a releasable way, able to allow that the operation of said rod produces the sliding of said piston in said syringe body; - motor means for operating said thrust rod, included in said operating device; - control means, included in said operating device, and connected to said motor means so as to control both the volumetric dosage of the quantity of fluid taken from a first hospital receptacle and the volumetric dosage of the quantity of fluid dispensed in a second hospital receptacle; said appliance being characterized by the fact that: - storage means are mounted on said syringe device for storing information relative to the type of transferred fluid, the quantity of taken fluid, the quantity of dispensed fluid, when each dose has been taken and/or dispensed and how many doses have been dispensed/taken; - said operating device comprises reading/writing means for reading and writing said information from/on said storage means; and that - said control means comprise a processing unit able to control said reading/writing means and able to process said information according to a predefined program, said processing unit being connectable to external electronic devices. - at least a syringe device in turn comprising a hollow syringe body for containing said biomedical fluid, and also comprising at least one sliding piston fitted sealed in said syringe body, the latter comprising a first end, which has joining means for putting in communication its inside with that of a hospital receptacle (R, P), and a second open end; - at least a grippable operating device, comprising a fastening seat which can be coupled in a removable way to said second end of the syringe device, the operating device comprising a thrust rod suitable for sliding longitudinally through said second end, following the coupling between said syringe device and said operating device; - temporary fastening means for coupling said rod to said piston in a releasable way, able to allow that the operation of said rod produces the sliding of said piston in said syringe body; - motor means for operating said thrust rod, included in said operating device; - control means, included in said operating device, and connected to said motor means so as to control both the volumetric dosage of the quantity of fluid taken from a first hospital receptacle and the volumetric dosage of the quantity of fluid dispensed in a second hospital receptacle; - storage means are mounted on said syringe device for storing information relative to the type of transferred fluid, the quantity of taken fluid, the quantity of dispensed fluid, when each dose has been taken and/or dispensed and how many doses have been dispensed/taken; - said operating device comprises reading/writing means for reading and writing said information from/on said storage means; and that - said control means comprise a processing unit able to control said reading/writing means and able to process said information according to a predefined program, said processing unit being connectable to external electronic devices.