The present invention discloses a method and apparatus for forming solder bumps by a molten solder screening technique in which a flexible die head constructed of a metal sheet is utilized for maintaining an intimate contact between the die head and a solder receiving mold surface, The flexible die head, when used in combination with a pressure means, is capable of conforming to any curved mold surface as long as the curvature is not more than 2.5 &mgr;m per inch of die length. The present invention further provides a method and apparatus for filling a multiplicity of cavities in a mold surface by providing a stream of molten solder and then intimately contacting the surface of the molten solder with a multiplicity of cavities such that the molten solder readily fills the cavities. The apparatus further provides means for removing excess molten solder from the surface of the mold without disturbing the molten solder already filled in the cavities. The present invention further discloses a flexible die for dispensing molten solder consisting of a die body that is constructed of a metal sheet capable of flexing of not less than 1.5 &mgr;m per inch of die length, a gate opening for receiving a supply of molten solder, a slot opening for dispensing the molten solder onto a solder receiving surface, and a pressure means associated with the die body for providing adequate pressure such that the die body intimately contacting the solder receiving mold surface.