Two major concerns are emerging, while dealing with building new process functionalities: shortening the development periods and eliminating the risks related to sensitive information leakages and privacy breaches. Indeed, managing business processes in a modern fashion may increase their quality. An effective solution consists in reusing specific fragments of existing business processes. Moreover, the produced fragments need to be declared as safe from a privacy perspective. This paper presents a design-time approach to decompose existing business processes. This approach provides ready-for-reuse and privacy-aware fragments that are conform to given semantics specifications. It is based on the so-called FCA technique handling semantic clustering while dealing with the privacy constraints