Multiple small conductive and flexible hollow rings, each of which is made from a pliable material, provide a flexible connection medium for use between a substrate and a microelectronic device package. Each ring is soldered to both the substrate and the device and held in place during manufacture by way of a flexible non-conductive film in which H-shaped cutouts are formed and into which a conductive ring is inserted. The interior sections of the H-shaped cutouts extend into the conductive rings and hold the rings in place during manufacture. A portion of the sidewall of each ring is not soldered thus insuring that at least part of the ring stays flexible. The rings accommodate elevation differences on a substrate and electronic device package. They also provide a vibration resistant and flexible joint.