This paper presents the application of the NNC method to the tuning of PI controllers. The main contribution is on the analysis of the tradeoff among different performance indexes as well as the need of considering the robustness as another tradeoff. Robustness has been included during last year's. However, the authors do question if it is needed to include an explicit robustness measure or is better to find its correlation with another performance-like figure of merit. The use of specific compromise criteria to select an unique solution from the Pareto front generates a possibility for tuning a PI control that generates better system outputs than existing tuning methods.