A laminate and a process for making it are disclosed. The laminate comprises a metal substrate and a polymer layer that adheres to at least one plasma-treated surface of the metal substrate. The polymer layer comprises a blend of a first polyolefin and a grafted polyolefin. The laminate can be prepared by plasma-treating at least one surface of a metal substrate and extruding onto the plasma-treated surface a polymer layer comprising a blend of a first polyolefin and a grafted polyolefin.