Droplet impact onto a solid surface is modeled and numerically simulated using an ALE formulation of the Navier-Stokes free surface equations. The triple line dynamics aspect is modeled implicitely through the Shikhmurzaev theory. Those equations involve a generalized Navier slip boundary conditions with the variation of the surface tension near the triple line (thus a local Marangoni effect). Comsol Multiphysics 3.2 potentialities are investigated to implement the different components of this ALE free surface problem. Finally, some numerical results of the spreading phase are obtained using the algorithm elaborated and implemented into Micralef, a home-developed software