Originally Posted by amma
I would shy away from satin stitching, you may not like the way it looks on the back of the quilt. And you will have a lot of quilt wrestling to do as you turn the quilt round and round sewing the edges :D:D:D
Depending on how you have quilted it, machine stitching the appliques down may add to and be complimentary to the previous quilting. Depending on the backing and color of thread used, it may not show much at all either :D again though, it means spinning the quilt around to sew them down.
If you are comfortable with FMQ, you could quilt around the shape on the inside the edge of the butterfly. no quilt spinning required! :) To finish the edges, you could try some stabilizer and finish off the edges before attaching to the quilt this way. I'd try it on a sample first to see if you like the results. You can use Elmers glue to hold it where you want before stitching down.