Cardiovascular dysfunction is the main cause of death in the world and several of these incidents have not been detected in time for diverse reasons. Consequently, some research groups, in ICT area, have been developing remote monitoring systems to detect the biosignals of cardiovascular dysfunction patients in the recent years. In this paper, a Coloured Petri Net (CPN) model for the remote healthcare process is presented. This CPN model uses the patient data formalization by means of set theory, providing a simplified perspective of the data transmission among all elements of the system. Using the CPN model, it will be investigated the behavior the system formed by the patients and their biosignals, located in different city zones (e.g., Panama), by means of simulation processes, in a first stage. With obtained simulation results, a remote monitoring system of bio-signals using non-invasive sensors will be developed.