you can do needle turn on the sewing machine........with invisible thread and a very small zig-zag stitch.....use freezer paper to keep those edges turned under, then as with hand, slit back and pull out freezer paper.....or take off before beginning the sewing down of the piece. I think that is more secure that fusible/blanket stitch for a piece that will be washed often, like a table runner, place mat or bed quilt....a wall hanging would be done with blanket stitch and be safe.
I am sure there are some tutes somewhere that will help you with the freezer paper process if you are interested.....