From my days teaching graphic arts: Use rubber stamp rubber, it softens with heat. cut your first one, I would suggest going slight on the detailed shading for now. Cut the rubber slightly larger (say half inch). Heat this rubber following manufacturers specs. Place hot rubber over the engraving leaving quarter inch all the way around. clamp hard and leave to cool. The clamping is important. It take pressure to fore into the cut pattern so plan this ahead of time. Another way is to use rubber mold material or silicon caulk-same registration issues apply. ink and print on piece two. could be the bottom of a bowl-just going to have a big rubber stamp. Fred
There's no way I know of except fiddling with it to get the best results you can and then drawing in the missing parts, hoping for proper alignment. Sometimes it works and sometimes is best to do a pencil layout.