In reply to Alan James - Rockfax:
ah I can see the picture better now on a PC rather than a phone.
looks like an old lime wall, previously patched with modern gypsum plaster and then wallpapered and gloss painted ? The wallpaper and paint will provide a waterproof skin keeping any moisture inside the wall or moving it to where it can get out. looks like the wall below the gypsum is leeching salts where the moisture if being forced out there as that is the only way past the waterproof plaster and wallpaper combination.
I would be removing all of that paper and seeing what happens - you might be able to watch the wall visibly dry - ours did. Personally I would pull off the modern plaster too which may have the consistency of cheese - let it dry and then re-skim in lime and paint with a breathable paint like clay paint.
Or stick a piece of plasterboard over it, cover up the problem and make it a problem somewhere or to someone else. I don't recommend this, but many do.