A flexible, adhesively attachable, self-sealing, thermal and acoustical insulating shield has a needled, flexible, fibrous batt having an insulating layer of insulating fibers disposed between opposite binding layers of binding fibers. Binding fibers of each binding layer are needledly disposed through the insulating layer and an opposite binding layer to provide tufts of binding fibers protruding from the opposite binding layer so a to form a tufted upper surface and a tufted lower surface of the batt. A flexible adhesive is disposed and adhered substantially over the upper surface and, preferably, over lower surface of the batt such that the tufts on the upper and lower surfaces are secured to the surfaces by the adhesive. A flexible, protective foil is adjacent to, and preferably permanently adhered by the adhesive to, the lower surface of the batt. The protective foil has edge portions which extend beyond edges of the fibrous batt and the edge portions have a flexible adhesive disposed and adhered substantially over upper edge surfaces of the edge portions. The shield may be flexed and pressed to configure and permanently attach the tufted upper surface to an object to be shielded and the edge portions may be pressed to permanently attach the edge upper surfaces of the edge portions to the object so as to self-seal the edge portions to the object.