A process of manufacturing a stretch composite is disclosed. The process comprises providing a polyolefin based substrate, providing a letterpress adhesive application system comprising a pattern roll and an applicator roll, and depositing a molten, non-adhesive, elastomeric composition onto the applicator roll. The process further comprises transferring only a portion of the elastomeric composition that is on the applicator roll, from the applicator roll to the pattern roll, by contacting the pattern roll with the elastomeric composition that is on the applicator roll, and transferring substantially all of the elastomeric composition from the pattern roll to the substrate, by contacting the substrate with the elastomeric composition that is on the pattern roll, without damaging the substrate.