The Mediterranean, as with any inland lake or sea, will not be exempt from the sloshing to and fro that occurs when the crust of the Earth shifts. The tidal waves may not reach the height of a wave that travels across the Pacific, but to those being washed over, this is scarce comfort. Where the inland lake or sea lies over a fault line, the change of waves generated by a sudden drop in the sea floor is also present. Thus, the Mediterranean will present those along its shores with the same precarious state as those along the Atlantic or other oceans. Anticipate being 200 feet above sea level and 100 miles from shore, to be safe, and where near active or even inactive volcanoes, anticipate that exploding volcanoes will not be a safe place to be when attempting to escape tidal waves.
See 7 of 10 Mediterranean commentary.