EpiGraph is an agent-based parallel simulator that performs realistic stochastic simulations of the propagation of the COVID-19 virus across wide geographic expanses. The current implementation of EpiGraph includes functionalities for modelling via a realistic interconnection network based on actual individual interactions extracted from social networks and demographical data. This network includes the characteristics of each individual, their relationships at work, school, home and during leisure time, and a transportation model which simulates the spatial dynamics of the virus’ propagation over-large scale areas. This dataset includes the data related to the scenarios of Comunidad de Madrid (Spain) as well the scripts for running the simulator,