A microelectronic assembly includes a first surface and a first thin conductive element exposed at the first surface and having a face comprising first and second regions. A first conductive projection having a base connected to and covering the first region of the face extends to an end remote from the base. A first dielectric material layer covers the second region of the first thin element and contacts at least the base of the first conductive projection. The assembly further includes a second substrate having a second face and a second conductive projection extending away from the second face. A first fusible metal mass connects the first projection to the second projection and extends along an edge of the first projection towards the first dielectric material layer.