When I taught leather classes over 20 years ago, there were two approaches: one to chemically remove the ink and second to apply pigment over it to cover up any ink remaining. I am sure that this will need both steps. The lightness of the color indicates that it is a protected or pigmented leather. Leather Master's Super Remover used carefully will probably remove the smaller areas. The Super Remover can also remove the finish which indicates that to remove the worst areas is to remove the pigmented layer. It would be best to stop before damaging the finish and apply matching pigment over the remaining stained areas. A perfect match is necessary, otherwise it will stand out like a sore thumb. Leathermaster had a service where you send a leather swatch for them to match (usually there may be enough leather under the furniture that can be cut and sent for a color match.
This is the procedure to repair so that you know it can be done, but most of you should not attempt but pass on to a leather specialist in your area. The furniture looks high end so an expensive repair can be justified.