A method for producing a flexible tubular member having a cross-linked coating includes oxidizing an outer surface of a flexible tubular substrate, disposing a first radiation curable pre-polymer formulation on the oxidized outer surface, exposing the first radiation curable pre-polymer formulation to radiation to produce a first cross-linked coating layer, disposing a second radiation curable pre-polymer formulation on the first cross-linked coating layer, and exposing the second radiation curable pre-polymer formulation to radiation to produce a second cross-linked coating layer. The substrate includes a cross-linked polymer.