A foamed adhesive insulation, consisting of a mixture of a foamed adhesive material and a fibrous insulation material, is provided which adheres to a desired surface without the need for a retaining means to hold the mixture in place. While in the flowable state, the foamed fiber insulation can be molded to a desired shape and texture. The foamed fiber insulation adheres and can be applied to substantially any surface, such as wood, metal, masonry, concrete, or urethane, with virtually any orientation. The compression and tensile strengths of the layer of foamed fiber insulation can be selected by adjusting the mixture of foamed adhesive material and insulation particles. The foamed fiber insulation can include additives such as a dye to produce a substantially rigid insulation layer of a desired color, or a fire retardant material to produce a fire retardant insulation layer.