Uh oh...advice needed!

A pen leaked in my black city so now there's ink all over the lining. Possible to remove?!
Since the lining is attached to the bag you may not be able to do much without damaging the leather. I tried to get a professional leather cleaner to clean a lining in one of my bags and they wouldn't touch it because they couldn't turn the lining inside out away from the leather itself. I'd ask a pro rather than trying a DIY on this one!