My galgos were all tested for diseases before they came to Canada, including Heartworm. They big concern is leishmaniasis, which can show up later. I know some people who have had to deal with it, but I haven't.
My guys have been very healthy and hearty.
One thing, many of these dogs were street dogs, so they might have some strange habits. They can also be real escape artists. I use heavy duty non escape harnesses for my galgos, and would do the same if I had a pod.
Anyway, they crack me up. You see pictures of them standing on all kinds of furniture, like counters and table tops.