French Prune and Italian Prune are the names of some European plum cultivars typically grown for the purpose of being dried, however they are also quite good eaten fresh.
In Romanian we still call plums as "prune", directly from Latin. My brother has lots of plum trees on his property (at the foot of the Carpathians) and most of the plums are used for making an excellent țuica (https://en.wikipedia.org/wiki/%C8%9Auic%C4%83), while the rest is dried up in order to be eaten during the long winter months (my grandma makes an excellent dried-plums soup).