A PVC-based cover strip designed to bond to non-PVC materials as well as PVC materials includes a PVC layer coated with a barrier effective to prevent migration of plasticizers from the PVC layer. The barrier layer, in turn, is coated with a primer and subsequently a pressure-sensitive adhesive. The barrier layer is generally a polar polymer, such as acrylonitrile rubber which resists migration of phthalate plasticizers. The pressure-sensitive adhesive layer is a pressure-sensitive adhesive suitable for use in roofing applications.