A numerical model based on the mild slope equation is applied to reproduce the propagation of small amplitude transient waves over mildly sloped sea bed. The model is suitable to reproduce the tsunami far field propagation. In the present research the waves are generated by a forcing term included in the mild slope equation that represents the effects of a submerged landslide on the fluid. The comparison with laboratory experiments is used to test the model accuracy in the reproduction of complex three dimensional tsunami generation scenarios. A large geographical scale application of the model to a possible tsunami scenario in the South Tyrrhenian Sea (Italy) around the Aeolian archipelago is here presented. Copyright © 2011 by the International Society of Offshore and Polar Engineers (ISOPE).