A process for shaping a high strength container, particularly an aerosol container and a container obtained through such process. Generally, aerosol containers made of aluminum or tin are obtained by conventional embedding processes from sheet disks and have cylindrical bodies with upper tapering finishing at a curl for fixing a valve cover and are closed by convex and profiled cross section bottoms, for forming a support region for upstanding the container. The bottom of such containers is obtained before tapering by means of a blow or front shock once the cylindrical body having planar circular base is shaped, this impact causing undesirable stresses on the body side wall and material accumulation at the annular region joining with this wall since the bottom thickness is not uniform. The invention proposes a process for shaping this kind of containers by extrusion thus saving material as a consequence of imparting the container with thin walls due to a substantial change in the production concept, giving concave shape to the base for avoiding undesirable stresses on side wall during further production steps and saving material at the joints with the side wall. The invention also relates to a particular shape container, having no material accumulation at the concave bottom, which may be used in different positions, horizontal or vertical aided by plastic or metal accessories.