Abstract: A bag suitable for the storage, deep-freezing and transfusion of blood and blood components formed of a calendered or extruded foil of plasticizer-free polyurethane of a thickness of about 0.1-0.5 mm, a Shore hardness A of about 60-85, temperature resistance up to about 160.degree. C. and down to about -196.degree. C. without change of properties. The bag can be used in combination with fittings and tubings of the same material to provide an overall plasticizer-free polyurethane system. The bag can be sterilized, is capable of low temperature storage, and exhibits other desirable properties without affecting the quality of its contents.