Abstract Runtime verification is a lightweight formal verification technique used to verify the runtime behaviour of software (resp. hardware) systems. Given a formal property, one or more monitors are synthesized to verify the latter against a system execution. A monitor can only conclude the violation of a property when it observes such a violation. Unfortunately, in safety-critical scenarios, this might happen too late for the system to react properly. In such scenarios, it is advised to use predictive runtime verification, where monitors are capable of anticipating (by using a model of the system) future events before actually observing them. In this work, instead of assuming such a model is given, we describe a runtime verification workflow where the model is learnt and incrementally refined by using process mining techniques. We present the approach and the resulting prototype tool.