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Atmospherically-driven extreme sea-level events are one of the major threats to people and assets in the coastal regions. Assessing the hazard associated with such events together with uncertainty quantification in a precise and timely manner is thus of primary importance in modern societies. In this study, an innovative stochastic surrogate model developed to statistically forecast maximum elevation hazard due to the eastern Adriatic meteotsunamis – destructive long waves in the tsunami frequency band generated by traveling atmospheric disturbances, is presented and evaluated. The evaluation reveals that the meteotsunami hazard is conservatively assessed but often overestimated. This study demonstrates that the presented surrogate model can be used for extreme sea-level hazard assessment and in general for hazard studies in geosciences.