Plant for bending metallic flat elements such as panels, sheets, plates or similar, bending machine for such metallic flat elements and relative bending process

Bending machine for a metallic flat element (11), including a support plane (21) on which said metallic flat element (11) to be bent is suitable to be positioned, a bending group (19) suitable to bend upwardly, or downwards, a section of said metallic flat element (11), and sucker feeding group associated with said support plane (21) and suitable to selectively feed said metallic flat element (11) to said bending group (19), characterized in that said sucker feeding group includes more than one sucker organ (22) aligned in a direction substantially transverse to said metallic flat element (11) to be bent and placed, in the rest position, below said support plane (21), and suitable at least to lift said metallic flat element (11) a given height (D) from the edge of said support plane (21) to keep said metallic flat element (11) from sticking to the support plane (21), at least after the bending has been carried out.