Linking to this blog that has a page on the latest in GENETICS for the Hungarians...
"On the basis of their findings the Szeged researchers came to the conclusion that the number of invaders was most likely very small because even in these very early graves only 36% of the people had markers indicating Asiatic origin. Fifty percent of them were of purely European origin, and their DNA composition indicated that their ancestors had lived in Europe for at least 40-50,000 years. By now this Asiatic element has almost disappeared: 84% of Hungarians are totally of European origin and only 16% carry Asiatic markers."
The archaeologists also tested the DNA of the horses they found in burials....