The present invention provides methods and apparatuses for securing safing insulation in the gap formed between a spandrel and a slab. Additionally, the present invention eliminates the need for stiffening tees and/or stiffening brackets. In one exemplary embodiment, the present invention utilizes a first portion of safing secured to spandrel insulation positioned in an exterior wall structure and a second portion of safing insulation positioned adjacent to the first portion of safing insulation and between the spandrel insulation and the slab. By fixedly securing the first portion of safing insulation to the spandrel insulation, any deformation of the spandrel insulation caused by the forces exerted by the compressed second portion of safing insulation on spandrel insulation results in the first portion of safing insulation moving with the spandrel insulation.