Future Internet evolution requires innovative strategic stances and the design of original business models from actors involved in the ecosystem. The study focuses on Internet Carriers, recently striving to make their business sustainable, and proposes to enclose in a single reference framework all the critical levers, either consolidated or innovative, such actors can employ in order to design their value proposition, value network integration, and financial configuration. The framework grounds its findings on multiple case studies, and, by presenting an insightful list of business model parameters for Carriers, sheds light on key emerging strategic and tactical trends in the Internet interconnections market.