It looks a bit like Vietnamese coffee. Which is brewed in a very similar way: Coffee is finely ground, mixed with chicory root, then put into a little metal canister where it's squeezed into the bottom. There are holes on top and holes under the coffee. Boiling water is poured in, and slowly filters thru the grounds into the cup it's sitting on. With Vietnamese coffee it's mixed with sweetened condensed milk - which is thick like pudding. It makes a delicious cup of coffee.
I worked as a coffee roaster and cupper for many years. There are few things I know more about than coffee. Thanks Weirdkid, you took my request for a "cup of coffee" to the next level - bravo!