A package for administration of fluid medicinal or nutritionalsubstances features an outer bag (1) with a sterile or sterilized innerchamber(2) and houses inside said chamber (2) a bottle (5) of medicinal ornutritionalsubstance (6) with a neck (7) and a pierceable cap (8) in an overturnedpositionand a device (9) for the withdrawal and/or reconstitution of the medicinal ornutritional substance (6), which is placed below the cap of the bottle and maybe hooked to the neck (7) of the bottle (5). Said device comprises aperforationneedle (13) configured to be axially movable with respect to the bottle (5)andan outflow tube (15) extending out of the bag (1) and equipped with anopenable closure (17). The perforation needle (13) is crossed longitudinallyby a first channel (18) connecting - after perforation of the cap (8) and withthe 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 ahydrophobic 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 theinnerchamber (2) of the bag (1) or vice versa (Figure 1).