They are beautiful little dogs, and their small size and short coat make them appealing, but they are not always what people expect them to be. They can be hard to housetrain,
because they are very subtle when letting you know they have to go. Larger dogs will be more dramatic and persistent. An IG will glance meaningfully at the door a few times, then shrug their
shoulders and go. Some people have had good success with bells on the door, but you need to know that you will have to pay close attention while they are learning.
Another surprising trait is their need to be close to you. All.the.time. They seek physical closeness more than most breeds, and have been labeled velcro dogs. This is especially true if they are an "only dog". Separation anxiety can be an issue, unless they are helped early on to accept spending time alone. Also, if you have to leave them for more than a few hours, you should be prepared to set up a relief station indoors, or hire someone to come and take them out.
And this would be a good time to mention that they are tiny sighthounds. If they see something interesting, they are likely to want to chase it. And because they are tiny, they can become frightened, and run away. They are never safe off lead in an unfenced area. All that desire to be close to you evaporates when they are hunting, or when they are running from some perceived danger…
And you need to know that because of their recklessness when startled or chasing something, and their long thin legs, fractures are a possibility unless you take precautions to puppy proof your environment. The vet bill for a leg break, plus the 6 weeks or so of recovery time, is overwhelming.
And while we are talking about veterinary things, I should mention that IGs, because of their tiny size and low body fat, are super sensitive to drugs and anesthesia. I have seen terrible burns from flea medication applied between their shoulder blades. They can have trouble with anesthesia, unless the vet uses great caution. Less is certainly more when it comes to toxins and Italian Greyhounds.
As with all small dogs, the dose for vaccines is the same large dose as for a Great Dane. Caution should be used when vaccinating. Multivalent vaccines and yearly boosters can result in autoimmune issues. Many veterinarians are beginning to notice the connection, but some stubbornly insist vaccines are harmless. Do your research, and decide for yourself. Scared Poopless is one good book to start. Another is Stop The Shots.