A package for administration of fluid medicinal or nutritional substances features an outer bag with a sterile or sterilized inner chamber and inside chamber a bottle of medicinal or nutritional substance with a neck, a pierceable cap and a device for the withdrawal and/or reconstitution of the substance, placed below the cap of the bottle. The device comprises a perforation needle axially movable to the bottle and an outflow tube extending out of the bag equipped with an openable closure. The perforation needle is crossed longitudinally by a first channel connecting with the closure set open to the outflow tube, and a second channel with a side opening equipped with a hydrophobic filter configured to allow, after perforation of the cap, only air or other gaseous fluids to flow from inside the bottle into the inner chamber of the bag or vice versa.
