The veneer is very thin and the discoloration will most likely go deep.
Grinding will soon take you all the way through to the base wood
and in most cases it's really not the veneers structure or grain that's damaged - "only" the color.
Product names and availability differ from one country to the next. I suppose your DIY store would be the best to advice you regarding which products and colors are available in your area.
In some cases (where all was "already lost") I've tried different methods for practice and I've found out that, at least in some cases, you can repair the damage by applying the exact same thing again as what destroyed the surface in the first place. Especially oak seems to accept this happily but this can be coincidental.
F.e. water-rings; Rub the whole affected surface using steelwool and water, let it soak a bit and rub again. Let it dry completely and treat with oil etc. (For oak you can use wax or similar).
I am not saying that this will work on any surface and with every damage and I know it sounds strange but I've seen it work.
Of course you shouldn't leave it to soak for days as this will certainly destroy the finish.
The alternative, I suppose, is to contact a pro woodworker and ask for assistance in the form of either advice, treatment products or actual work.
Brazilian rosewood may be the correct name for the palisander woodsort,
or at least for one of the woodsorts that B&O sold using the palisander name. We've had this up before on the old forum.
The structure and grain patterns of palisander B&O (and other furniture-) things vary a lot
up through the years from very fine and even grain-patterns to very
rough patterns with large, dark, almost black knots visible.
Martin