A method for continually performing an electrolytic process on a batch of substrates (105; 105') without stopping then, the method comprising: delivering an electrolytic solution through at least one delivery mouth of an electrolytic head (701b;801b) on an operative surface of a support element of the electrolytic head made at least partially of an electrically conductive material, sucking the delivered electrolytic solution through at least one suction mouth completely surrounding said at least one delivery mouth on the operative surface using a suction pump that creates a depression at the suction mouth thereby forming a dynamic drop in a fixed position with a content of the dynamic drop that is continuously refreshed thanks to a flow of the electrolytic solution from the delivery mouth to the suction mouth, the dynamic drop being formed by a portion of the electrolytic solution that remains attached to the operative surface, feeding the substrates in succession across the electrolytic head, moving each substrate and the electrolytic head transversally with respect to each other thereby bringing a corresponding portion of a first surface of the substrate in contact with each dynamic drop attached to the operative surface of the support element, which dynamic drop, when contacted, becomes a dynamic meniscus, applying a first biasing voltage to the electrolytic solution through the electrolytic head, and applying a second biasing voltage, of opposite sign with respect to the first biasing voltage, to a second surface of the substrate opposite the first surface of the substrate to create a conductive path with the electrolytic head through the substrate. delivering an electrolytic solution through at least one delivery mouth of an electrolytic head (701b;801b) on an operative surface of a support element of the electrolytic head made at least partially of an electrically conductive material, sucking the delivered electrolytic solution through at least one suction mouth completely surrounding said at least one delivery mouth on the operative surface using a suction pump that creates a depression at the suction mouth thereby forming a dynamic drop in a fixed position with a content of the dynamic drop that is continuously refreshed thanks to a flow of the electrolytic solution from the delivery mouth to the suction mouth, the dynamic drop being formed by a portion of the electrolytic solution that remains attached to the operative surface, feeding the substrates in succession across the electrolytic head, moving each substrate and the electrolytic head transversally with respect to each other thereby bringing a corresponding portion of a first surface of the substrate in contact with each dynamic drop attached to the operative surface of the support element, which dynamic drop, when contacted, becomes a dynamic meniscus, applying a first biasing voltage to the electrolytic solution through the electrolytic head, and applying a second biasing voltage, of opposite sign with respect to the first biasing voltage, to a second surface of the substrate opposite the first surface of the substrate to create a conductive path with the electrolytic head through the substrate.