A composition to be used for the manufacture of mono- or multilayer films for food-wrap applications comprising from 5 to 40 wt % of a styrenic block copolymer, a polyolefin in an amount of at least 40 wt % and optionally a resin which is compatible with the hydrogenated poly(butadiene) blocks of the styrenic block copolymer in an amount of from 0 to 25 % wt, wherein all weight percentages are relative to the weight of the complete composition; a styrenic block copolymer to be used in said composition, and mono- or multi-layer films comprising said composition.