Disclosed are a composite film, and use of the film, in which the film has an oxygen permeation rate of from about 50 to about 2000 cm3×mil/[m2×day] and comprises or is produced from at least one sealant layer and at least one barrier layer for packaging fresh meat or fish product. The sealant layer comprises an ethylene or ethylene copolymer that contacts the fresh meat or fish product which has been pretreated in an oxygen atmosphere having a pressure of about 6 to about 20 bar (6×105 to 2×106 Pascals).