A heat-sealable polymer-based multilayer film for peelable packaging comprising a polymer-based core layer having an interior-facing side and an exterior-facing side; a peelable intermediate layer on the interior-facing side of the core layer, the peelable layer having an interior-facing side and a core-facing side, and the peelable layer containing a peeling agent; and an interior skin layer on the interior-facing side of the peelable layer; wherein the core layer is polypropylene-based and contains a propylene-ethylene copolymer to impart puncture-resistance to the multilayer film.