Nowadays, process management systems can be used not only in classical business scenarios, but also in highly mobile and dynamic situations, e.g., in supporting operators during emergency management in order to coordinate their activities. In such challenging situations, processes should be adapted, in order to cope with anomalous situations, including connection anomalies and task faults. In this paper, we present a general approach, based on execution monitoring, which is (i) practical, by relying on well-established planning techniques, and (ii) does not require the definition of the adaptation strategy in the process itself (as most of the current approaches do). We prove the correctness and completeness of the approach.