Flames stabilization and pollutant formation in confined combustion chambers are affected by heat losses. Reliable numerical simulations must account for such complex phenomena at a reduced CPU cost. The aim of the present work is the development of a comprehensive reduced chemistry model able to account for the impact of heat losses on chemical flame structure. The recently developed virtual chemistry concept has shown promising capabilities to capture detailed chemistry effects with a reduced set of virtual species and kinetic reactions in adiabatic flame conditions. The approach consists in : i) using a virtual main chemical mechanism coupled to the flow solver equations to predict temperature and heat release, ii) designing satellite sub-mechanisms dedicated to the description of pollutant formation phenomena. The virtual mechanism is trained to recover the properties of an ensemble of target flames. Here burner-stabilized flamelets are introduced in the reference database to capture the influence of heat-losses on flame heat release and pollutant formation. The present approach is validated in 1D laminar burner stabilized flames and radiative freely propagating flame configurations. Finally the non adiabatic virtual chemistry is used to perform LES of a premixed turbulent combustion chamber submitted to wall heat losses. Comparison against experiment shows that non adiabatic simulation captures well the flame shape, the temperature and the CO prediction.