As a cheap trial, I would suggest you buy some nitromors from a hardware shop apply it with a paint brush ( type with an unpainted handle) leave it on for at least 30 minites - DOnot poke it about or become impatient and keep dabbing it
After 30 minites use the brush to move the chemical about, you will find much of the paint will have lifted from the surface and become mixed with the chemical.
Remove the gunk with an old absorbant cloth - DONT use Water yet!
reapply the chemical and go through the same process, you are using a poltice to draw the pigment out of the wall.
After second time wash and scrub with hot water - dont use cold.
You may be left with a shadow - let me know how you get on.
Wear rubber gloves at all times - methylene chloride ( what nitromors is made of ) burns.