We investigated the structural effects of compression on the frameworks SOD, CHA, and FAU through a series of (N, P, T) simulations at increasing values of applied pressure. The influence of temperature was evaluated by performing these series of simulations at 20 K, 300 K and 600 K. The range of pressure investigated shows a variation of the cell volume that can exceed that imposed to the structure for the generation of the training data (i.e., between +1.5% and -3.0%). We also performed calculations of the second-order elastic tensor at 20 K, in order to demonstrate the potential for the MLIP to describe anisotropic mechanical properties, and to investigate the influence of system size by comparing 2 x 2 x 2 supercells and 3 x 3 x 3 supercells. These results are reported and discussed in the Supporting Information.