With the aim to facilitate compliance with the GDPR, particularly for SMEs, this paper summarises the results of the H2020 BPR4GDPR project. With a focus on business processes, the project has proposed a holistic approach able to support compliant processes, while fulfilling requirements covering diverse application domains. The main pillars of the solution are: i) a policy-based access and usage control system, for setting the operational rules; ii) a framework for automatically re-engineering processes, so that they become compliant by design; iii) a run-time environment for the enforcement of privacy constraints and data subjects’ rights; iv) a process mining framework, devised for ex post compliance analysis and conformance checking leveraging the process execution traces.