The paper analyzes the Italian energy consumption in order to verify possible substitutions among energy resources. The work uses a modification of the econometric model EDM (Energy Demand Model) to forecast Italian energy consumption in industry and household & services, emphasizing the substitution among energy resources. The allocation among energy products is made through equations that form a simultaneous system indicated as LES (Linear Expenditure System). The present work has obtained mid-term forecasts (up to year 2020) for the Italian consumption of energy in industry and household & services. Different Scenarios on possible future trends are presented.