Apparatus (10) for continuously performing localized and/or extended deformations on metallic containers constituted by extruded or drawn and solid-drawn tubular bodies including: —A) interface module (1); —B) at least one work module (2, 2′, 2″) and —C) possibly one inversion module (3), wherein said modules are arranged so that they form a closed path and said interface module (1) includes a feeding station or drum (12), an unload drum (16) and at least one selective dispatch element for re-feeding the containers to the work modules (2, 2′, 2″) or the unload drum (16), depending on the number of predetermined operations.