The present work aims to evaluate a flame extinction/re-ignition model that considers the interaction of the non-premixed flame with flow turbulence. Turbulence can disturb the flame surface and initiate mixing between fuel, air, and combustion products. Near extinction, pockets of pre-mixture in the form of mixed eddies can be formed. The evolution of such a mixed eddy is determined by the competition of the heat release and heat loss rates, which are linked to the eddy size, the local flame thickness, and the turbulent Karlovitz number. Radiation from the reacting flame sheet is modeled considering the gaseous combustion products and soot. Based on this conceptual flame extinction modeling framework, a re-ignition model is also developed to describe the downstream, piloted re-ignition of the mixed, quenched fuel. The flame extinction/re-ignition model is implemented in FireFOAM and is evaluated using gaseous-pool fires in an enclosure with CH4, C3H8 and C2H4 diluted with nitrogen in air flow. The model predictions are compared with test data for combustion efficiency, flame height and global radiant fraction.