An applique sheet is a plastic sheet you put under things you are fusing together. Your fusable won't stick to it.
A method I use on my applique stems might be useful to you. I put the unfolded bias strip in place and machine sew it. Then you place the second piece with the raw edge next to the first one and fold the bias down over the seam. Depending on what I am making, I then sew it with a narrow 5 stitch zag ----^----^ or hand applique the second side of the stem, or in this case, the lead. This method helps to get one piece under control at a time.
Remember, because of the seam allowances, the 'glass' pieces will butt against each other.