An attachment element for use with a concrete wall construction that includes a layer of concrete and a layer of an insulative material that is held against a face of the layer of concrete. The attachment element includes an elongated body member having a first portion that is adapted and arranged for embedment in the layer of concrete as the latter hardens and a second portion that is positioned longitudinally of the body member from the first portion. The second portion is adapted and arranged so as to extend outwardly from the face of the concrete and through a closed slot formed in the layer of insulative material. The attachment element also includes an elongated face plate that is attached to the second portion of the body member adjacent an outer end of the latter. The face plate is positioned so as to extend transversely of the body member and the same is adapted and arranged at the outer surface of the layer of insulative material in a position to extend laterally outwardly away from the body member and across the outer surface beyond the periphery of the slot. The entirety of the attachment element other than the face plate is small enough in size to permit insertion thereof through the slot during use.