This paper addresses the problem of emulation-based dynamic output-feedback control for discrete-time linear parameter varying systems under actuator saturation. Sufficient conditions based on linear matrix inequalities (LMI) are derived to design the parameters of two dependent event-triggering rules handling the sensor-to-controller and controller-to-actuator communication and to guarantee the regional asymptotic stability of the closed-loop system. A convex optimization scheme incorporating these conditions is also formulated to reduce the output and control signals' update rate through communication channels. A numerical example illustrates the usefulness of the proposal.