Improving the prediction of weather events is always an important research area and challenging task for meteorologists since it can minimize the damage, adverse impact on human life, properties, and the country's economy. The operational and research centers around the globe have been working to better understand the multiscale interactions involved in advancing severe weather, including Tropical Cyclones and thunderstorm predictions. The present review article focuses on research activities with a specific emphasis on Numerical Weather Prediction (NWP) methods that led to improvements in severe weather prediction over India during the last three decades. This work also highlights the continuous efforts of the India Meteorological Department (IMD) in increasing the observational network and severe weather monitoring. The evolution of NWP models and associated advancements in genesis, movement, and precipitation forecasts of extreme events by these models are discussed.