A cyclonic burner operating under moderate or intense low-oxygen dilution (MILD) conditions is simulated using a perfectly stirred reactor (PSR) incorporated within a tabulated chemistry approach. A presumed joint probability density function method is used with appropriate submodels for the turbulence-chemistry interaction. Non-adiabatic effects are included in the PSR calculation to take into account the effects of non-negligible wall heat loss in the burner. Five different operating conditions are investigated, and the computed mean temperatures agree well with measurements. A substantial improvement is observed when the non-adiabatic PSR is used, highlighting the importance of heat transfer effects for burner configurations involving internal exhaust gas recirculation. Furthermore, enhanced reaction homogeneity is observed in this cyclonic configuration for the globally lean case, leading to a more spatially uniform temperature variation with MILD combustion.