PSM has become a "commodity" of hydrocarbon exploration. Although PSM principles are now widely accepted and applied, many challenges remain. Increasingly complex basins are explored and subject to numerical modeling. Henceforth, multiple interacting physical processes, advanced specific mathematical computational methods and new integrated workflow taking uncertainties into account are a must. In practice, various and complementary fields of expertise come together to provide the basin modeling engineers with more effective and robust approaches, improved modeling workflow efficiency and prediction capability.