The invention provides a composition comprising the following: at least one olefin multi-block interpolymer, at least one thermoplastic polyurethane, and at least one polydiene-based and / or polydiol-based polyurethane. These compositions are well-suited for promoting the adhesion between polar (for example, polyester, polycarbonate and polylactic acid) and non-polar materials and for the manufacture of, among other things, films, fibers, sheets and tie layers, tubes, adhesives, dispersions, protective apparel, footwear, coatings, laminates and foams.