The invention relates to a container for emanating volatile substances, The container comprises a container body which has at least one opening and is closed by a lid film. The lid film comprises an outer multi-layer film having at least one barrier layer impermeable to the volatile substances, a coextruded inner multi-layer film having at least one layer permeable to the volatile substances. The coextruded inner multi-layer film is bonded on one side to the outer multi-layer film and on another side to the container. The coextruded inner multi-layer film consists of at least a polyethylene layer, a release layer comprising a polymer selected from the group consisting of EVOH and PETg, a peelable interface interposed between the release layer and a layer permeable to the volatile substances, whereby said permeable layer comprises a polymer selected from the group consisting of mVLDLLDPE, ethylene vinyl acetate copolymer, and ethylene n-butyl acrylate copolymer.