Abstract This issue brings together 12 papers presenting results of geodynamic/subsidence studies performed in the frame of the Peri-Tethys Programme (PTP). The areas in question are for the northern Peri-Tethyan Platform: the Dniepr-Donets, Precaspian, Polish Basin, southern Carpathians, North Fore-Caucasus, South Caspian and Black Sea basins. For the southern Peri-Tethyan Platform, the basins studied include basins of Morocco, North Algerian Atlas' basins, Tunisia and Arabia basins. Some features of these basins' evolution are given for each area. The tectonic evolution and driving mechanism of these basins' subsidence are placed in the general context of the break-up of Pangea, opening of the Tethys ocean, followed by its closure before the general collisional regime.