I have done this. I embroidered Santa figures on muslin and alternated them with star blocks in a Christmas quilt. I, too, felt the embroidered blocks were a little thin. I used the thin, fusible, non-woven interfacing on the back of each square. It worked great! The blocks were not stiff, and easily went into the quilt. My next issue was how to quilt them, as I didn't want to quilt over the embroidered stitches. I ended up using a thin, off-white thread to machine quilt around each Santa scene. Hope this helps!