The dynamics of flood risk in Coastal Multi-hazard Catchments (CMC) are marked by distinctive and complex characteristics. In these areas, flood hazards emerge from an intricate interaction of multiple sources, which vary in intensity, origin, and propagation pathways. Traditional approaches to understand vulnerability encounter significant challenges in these catchments, owing to the diverse physical and socioeconomic components involved. This intricacy stems from the inherent heterogeneity observed across various aspects of these regions. This chapter proposes a comprehensive framework to quantify vulnerabilities over a severely flood-prone region in India. The research takes into account vulnerabilities arising from (a) physical, (b) socioeconomic, and (c) composite (a combination of both) groups of indicators. The research employs an integrated Shannon Entropy and Technique for Order of Preference by Similarity to Ideal Solution (TOPSIS) framework, incorporating a set of 24 indicators. More than 65% of villages demonstrate “high” or “very-high” vulnerability when assessed solely based on physical indicators. However, this proportion decreases to under 21% when only socioeconomic indicators are taken into account. When both sets of indicators are combined, the percentage is reduced even further to below 19%, highlighting the intricate and multifaceted nature of vulnerability within the catchment area. The research provides crucial insights to the global flood management community regarding the judicious selection of indicators, given their significant impact on overall flood vulnerabilities.