The Italian day-ahead electricity market is a zonal market with a national uniform purchase price, called PUN (in Italian “Prezzo Unico Nazionale”). The clearing of such a market is based on linear programming techniques, where primal variables represent quantities of traded energy and dual variables represent prices. Since the PUN cannot be expressed as a linear combination of primal or dual variables only, up to now the above clearing problem could be solved exclusively using heuristic techniques and/or approximations. The authors of this paper have developed an exact mixed integer linear programming model, capable to clear the Italian day-ahead electricity market. In this paper, this new model is compared with the existing, non-exact, market solvers in terms of numerical results and computational costs. In particular, numerical results are perfectly adherent with the ones published by the Italian Market Operator, while the computational costs are of the order of few seconds on a PC.