This paper presents a dynamic adaptation process for multi-cloud applications that is composed of two phases. The first one is a modeling phase, which borrows the ability for representing commonalities and variabilities from the software product lines (SPL) paradigm. In this phase, a customized model feature specifies the configuration of cloud services to be used by an application (commonalities) and the different possible providers for each service (variabilities). The second phase is an implementation phase, which relies on the Mape-K autonomic loop to define the steps of an adaptation strategy and a centralized knowledge management provides the proper inputs for each step. Finally, in order to make easier the task of developing the adaptation process itself, the current implementation of the adaptation strategy relies on the FraSCAti component framework, which allows performing wiring and unwiring operations between components.