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 (PDF) method is utilised with appropriate sub-models for the turbulence-chemistry interac- tion. 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 highlight- ing the importance of heat transfer effects for burner configurations involving internal exhaust gas recirculation (EGR). Furthermore, enhanced reaction homogeneity is ob- served in this cyclonic configuration for the globally lean case, leading to a more spatially uniform temperature variation with MILD combustion.