The appliance for transferring biomedical fluids between hospital receptacles includes: a syringe device including a hollow body for containing the fluid and one sliding piston fitted sealed in the body, the latter having a first end, which has joining elements for joining with a hospital receptacle, and a second open end a grippable operating device including a fastening seat which can be coupled in a removable way to the second end, which includes a thrust rod suitable for sliding through the second end temporary fastening elements for coupling the rod and piston in a releasable way motor elements for operating the rod and control elements connected to the motor elements for controlling both the volumetric dosage of the quantity of fluid taken from a first hospital receptacle or dispensed in a second hospital receptacle. Storage elements are mounted on the syringe device, and the operating device includes reading/writing elements.