Extent-based incremental identification uses the concept of extents and the integral method of parameter estimation to identify reaction kinetics from concentration measurements. The approach is rather general and can be applied to open both homogeneous and gas-liquid reaction systems. This study proposes to incorporate calorimetric measurements into the extent-based identification approach for two main purposes: (i) to be able to compute the extents in certain cases when only a subset of the concentrations are measured, and (ii) to estimate the enthalpies when all concentrations are measured. The two approaches are illustrated via the simulation of an homogeneous and a gas-liquid reaction system, respectively.