If you check out the 5th and 6th headings on the trip report below, you will find a couple tips regarding Dijon. Whereas the headings will not directly answer your question about meals, note that the landlady mentioned there, Coco, would absolutely have every answer that you may require. Her rental is both excellent value and well-located.
Dijon is a fairly large town, a city actually by Euro definitions, and in such places there are always a few eating options. Again, your hotelier or gestionaire (property mgr) would have the info you seek. Good luck and have a great trip.
I am done. The end.