Methods and apparatus to couple a decorative composite having a reinforcing layer to a panel are disclosed. An example apparatus includes a decorative layer and a first reinforcing layer coupled to the decorative layer. The example apparatus includes a coil reduction layer that is to apply a force to the first reinforcing layer to reduce coiling of the first reinforcing layer. The example apparatus includes an adhesive layer applied to the coil reduction layer that is coupled to the first reinforcing layer to enable the decorative layer to be coupled to a panel. A rigidity of the first reinforcing layer is to enable the first reinforcing layer to distribute a force exerted by at least one of gas or vapor disposed between the first reinforcing layer and the decorative layer to impede separation of a portion of the decorative layer from the panel.