A package for administration of fluid medicinal or nutritional substances features an outer bag (1) with a sterile or sterilized inner chamber (2) and houses inside said chamber (2) a bottle (5) of medicinal or nutritional substance (6) with a neck (7) and a pierceable cap (8) in an overturned position and a device (9) for the withdrawal and/or reconstitution of the medicinal or nutritional substance (6), which is placed below the cap of the bottle and may be hooked to the neck (7) of the bottle (5). Said device comprises a perforation needle (13) configured to be axially movable with respect to the bottle (5) and an outflow tube (15) extending out of the bag (1) and equipped with an openable closure (17). The perforation needle (13) is crossed longitudinally by a first channel (18) connecting - after perforation of the cap (8) and with the closure (17) set open - the inside of the bottle (5) to the outflow tube (15), and a second channel (19) with a side opening (20) equipped with a hydrophobic filter (21) configured to allow, after perforation of the cap (8), only air or other gaseous fluids to flow from inside the bottle (5) into the inner chamber (2) of the bag (1) or vice versa (Figure 1).
