It is very much like Turkish coffee. The grounds remain at the bottom of the cup.

We learnt about the Spoon Sweets of the region. These are created by soaking fruits in sugar water. Even the most sour sweets, including a variety of orange that is inedible, can be converted to spoon sweets. Spoon sweets are served when people visit homes in Greece.

https://en.wikipedia.org/wiki/Spoon_sweets