The analysis of Roman infrastructures, which helps to understand the transport costs, the commercial routes and the territorial configuration, is an indispensable way to know the benefits and shortcomings of the transportation system created in Roman times. It is well known that the Roman Empire built the first big transport network in Western Europe, parts of Eastern Europe, the Middle East and Northern Africa. In this paper, we show our attempt to reconstruct the Roman transport conditions in Hispania by valuating its connectivity and by modelling the travel costs and times. All of these calculations have been made based in a highly digitized transport network and Network Science applications. The results of such methodologies provide us with new information to understand the Iberian territorial organisation, the distribution of commodities, product competition and problems of stagnation in ancient economies such as that of Ancient Rome.