Ive never hunted them but see them every now and then. They do come from the orient, and was introduced to Europe by the romans, so they have been around awhile. They were here before but got erradicated by the ice age.
They have a good hearing and a great sence of smell. They also have very good eyesight. They tend to hide in the thickets when nervous. A common problem when hunting them is that they pack themselves together tighter and thus making a clear shot at a single individual almost impossible. Being very social they are of course very apt to notify each other when worried.
Thats the experiences of mr " never hunted fallow but read the book".

Good luck!