What are "cheese Parmentiers"?
Some quick Googling leads me to believe these are &quot;Bouchées Parmentier au Fromage&quot; (literally 'mouthfuls'), which seem to be some sort of potato-and-cheese croquette.
To find this, I did a Google image search for &quot;Parmentier au fromage&quot;. This shows many different dishes (lots of which are indeed shepherd's pie-like, but it also gives a few hits on the Bouchées. These seem to be perfect as a canapé, so fit the description in OP's question. Searching for &quot;Bouchées Parmentier au Fromage&quot; yields only these. It's admittedly not a water-tight argument, but it's the best I could find.