Heavy-duty engines have to be carefully designed and optimized in a wide portion of their operating map to satisfy the emissions and fuel consumptions requirements for the different applications they are used for. Within this context, computational fluid dynamics is a useful tool to support combustion system design, making possible to test effects of injection strategies and combustion chamber design. Within this context, the predictive capability of the combustion model play a big role since it has to ensure accurate predictions in terms of cylinder pressure trace and the main pollutant emissions in a reduced amount of time. For this reason, both detailed chemistry and turbulence chemistry interaction need to be included. In this work, the authors intend to apply combustion models based on tabulated kinetics for the prediction of Diesel combustion in Heavy Duty Engines. Three different approaches were considered: well-mixed model, presumed PDF and flamelet progress variable. Tabulated kinetics was also used to estimate NOx emissions. The proposed approach was implemented into the Lib-ICE code and simulations were carried out for a FPT engine considering 12 different operating points at different loads and speeds where the engine operates under both conventional Diesel combustion and PCCI mode. Validation is performed by comparing computed and experimental data of in-cylinder pressure, heat release rate and main pollutant emissions.