QuiltforPD - Is this what you use to applique on quilts?
There is a method of using regular fusible interfacing (not fusible web) for applique . You stitch the fusable interfacing fusible side to the right side of the fabric applique. You trim the outside down to between and 1/4 and 1/8 inch . You then make a small slit in the back of the interfacing to turn it. Finger press the edges. Press the applique to the fabric. This method turns the raw edges to the inside . The fusible interfacing is hold it in place till you machine stitch in place.
It can closely resemble needle turn if you use invisable thread and a blind hem stitch. Some use blanket stitch .. the idea is no raw edges ..everythng is turned under very efficently with the interfacing. Light weight interfacing works best.