Methods for depositing a metal into a micro-recessed structure in the surface of a microelectronic workpiece are disclosed. The methods are suitable for use in connection with additive free as well as additive containing electroplating solutions. In accordance with one embodiment, the method includes making contact between the surface of the microelectronic workpiece and an electroplating solution in an electroplating cell that includes a cathode formed by the surface of the microelectronic workpiece and an anode disposed in electrical contact with the electroplating solution. Next, an initial film of the metal is deposited into the micro-recessed structure using at least a first electroplating waveform having a first current density. The first current density of the first electroplating waveform is provided to enhance the deposition of the metal at a bottom of the micro-recessed structure. After this initial plating, deposition of the metal is continued using at least a second electroplating waveform having a second current density. The second current density of the second electroplating waveform is provided to assist in reducing the time required to substantially complete filling of the micro-recessed structure.