In this paper we consider a situation in which several quantum particles are located relatively far away from each other. We assume that each particle remains in a sharply localised state throughout time, a peaked soliton, due to the existence of some confinement mechanism, for instance a self-focusing non-linear interaction. In a previous work we showed that in this case there exist a class of solutions of the quantum dynamics such that at the zero order of perturbation the peaked quantum solitons (solitary waves) obey a generalized de Broglie-Bohm (dB-B) guidance equation. Here we show that, at the first order of perturbation, our model predicts the appearance of an effective gravitational field.