Everyone likes to think about the vampire bite as being on the neck. Let's take it from another angle. Vampires are supposed to be these erotic creatures, so why would they settle for the neck when there are many other arteries to go for?
A vampire bite can be erotic and therefore it can be at the neck, the wrist, the inner thigh, and more.
The Mortal One features vampires in Paris and Florence - and when they bite, it's not always the neck that they're biting!