The present invention relates to methods and arrangements for forming a solder joint connection. One embodiment involves an improved solder ball. The solder ball includes a perforated, metallic shell with an internal opening. Solder material encases the shell and fills its internal opening. The solder ball may be applied to an electrical device, such as an integrated circuit die, to form a solder bump on the device. The solder bump in turn can be used to form an improved solder joint connection between the device and a suitable substrate, such as a printed circuit board. In some applications, a solder joint connection is formed without requiring the application of additional solder material to the surface of the substrate. The present invention also includes different solder bump arrangements and methods for using such arrangements to form solder joint connections between devices and substrates.