This paper deals with a computational strategy suitable for the simulation of multiphysics problems, based on the Large Time INcrement (LATIN) method. The simulation of such problems must encounter the possible different time and space scales which usually arise with the different physics. Herein, we focus on using different time and space discretizations for each physics by introducing an interface with its own discretization. The feasibility of both a time and space couplings is exemplified on a nonlinear 3-physics strongly coupled problem: the thermal / fluid / structure interaction in a thermo-poroelastic structure.