In this paper we analyse in detail an $S_3$-symmetric three-Higgs-doublet model with a specific vacuum configuration. This analysis allows us to illustrate well-known interesting features of models with several Higgs doublets, such as the possibility of having spontaneous CP violation. We start with a real potential and we pick a particularly interesting complex vacuum configuration, which by itself does not violate CP. We study the role played by different soft symmetry breaking terms. These are essential for our choice of vacuum in order to remove unwanted massless scalars which arise from the spontaneous breaking of an accidental continuous symmetry. We list scalar sector and scalar-gauge sector-couplings for the particular case we consider in detail in this work. The results presented in this paper will be important for model building.
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