In the next generation Internet, there will be more and more applications that require real-time transmission and multicast services. To fulfill these requirements, Integrated Services (IntServ) and Differentiated Services (DiffServ) have been proposed. The IntServ architecture provides an end-to-end QoS guarantee on a per-flow basis. The DiffServ architecture, on the other hand, provides a QoS guarantee designed to aggregate flows and is more scalable for use in backbone networks. In this paper, we propose an integrated environment in which local access networks provide IntServ, while backbone networks provide DiffServ. Issues concerning how to map service classes between these two types of networks and how to provide multicast services are discussed, and possible solutions are proposed.