Investigating the homogeneous Bethe-Salpeter equation in Minkowski space

representation and devised for solving the Bethe-Salpeter equation directly in Minkowski space, is presented. The two ingredients for constructing such a new tool are: i) the Nakanishi perturbation-theory integral representations of the N-leg transition amplitudes and ii) the Lightfront framework, that also allows one to gain insights into the Fock content of the states of an interacting system. Numerical results, corresponding to the Bethe-Salpeter equation in ladder approximation, for a simple system, composed by two massive scalars interacting through the exchange of a massive scalar, are provided for illustrating the effectiveness of the approach.