The aim of this work is to determine the empirical transfer function coefficients (TFCs) for the case of a hollow tile with two air cells deep in the vertical direction. We start with the prediction of combined heat transfer by conduction, natural convection, and radiation by using a detailed numerical simulation when the system is submitted to the realistic time varying temperatures. Then, the results of the simulation (the time-varying heat fluxes at the hollow tile surfaces) are used to obtain empirical TFCs by using an identification method. The dynamic responses of the hollow tile that are predicted using both the TFCs and the simulation program are compared for thermal excitations that differ from those used to derive the coefficients. The results show a good harmony between the two procedures’ predictions. In addition, other different comparisons in terms of the overall thermal conductance coefficients are presented and discussed.