One of the key aspects of any mobile multimedia application is the management of multimedia documents. Currently, these documents are accessible on a wide variety of devices, such as laptops, tablets and smartphones. The (hardware and software) heterogeneity of such devices and the diversity of user preferences require adaptation of multimedia contents. Since the last decade, a fair amount of research has been conducted in order to develop adaptation frameworks. These frameworks generally transform documents in order to comply with all target device constraints. For that purpose, they generally exploit device and user profiles in order to detect conflicts between the target execution context and the document characteristics that is going to be played. Furthermore, when conflicts have been detected, they usually search and compose several relevant adaptation components that will perform the document transformations in order to solve these conflicts. However, we have noticed that current adaptation frameworks do not fully exploit the semantic benefits for describing the profiles, the adaptation components and the quality of services. In this chapter, we propose a model for specifying rich profiles containing explicit constraints expressions with qualitative and quantitative information. Moreover, we propose a generic ontology that handles semantic rules allowing the automatic generation of a dynamic and a quality composition of heterogeneous adaptation components. Our proposal has the great advantage to offer to users a global flexible adaptation infrastructure exploiting semantic information at multiple levels, i.e., from profiles to the computation of adapted multimedia documents.