Systems with elements linked via a communication network are vulnerable to communication problems and attacks of malicious agents, with potentially harmful consequences for performance and stability. This paper proposes a stochastic Model Predictive Control (MPC) scheme to deal with two different sources of uncertainties simultaneously, namely, packet losses and external disturbances. In particular, the controller deals with packet losses using a tree-based approach and is robustified against external disturbances using a multiple scenario approach. Finally, the algorithm performance is compared via simulation with other MPC alternatives and a feedback control law.