I had this problem with my watch and in the end, after trying everything else and as suggested below, I put it in the vice with plenty of padding on the face. I kept on tightening and it took a remarkable amount of pressure before I heard the click. Of course, when I took it out, it was the face which had shattered and the back was still sitting there smiling at me. The problem (I think) is that the back is domed so, if it doesn’t pop in with hand pressure then the harder you press (in the middle) the more the edges expand and it will never go in. My two suggestions if you hit problems would be 1) if you are going to use a vice, place a large washer or ring over the back so that pressure is only applied to the edges, or 2) (much preferred) hand it over to a professional.
Peter L, December 2020