Kambiz mentions today this paper at Anthropology.net:
Sean Myles et al. Genetic structure and domestication history of the grape. PNAS, 2011. Open access.
Archaeological evidence suggests that grape domestication took place in the South Caucasus between the Caspian and Black Seas and that cultivated vinifera then spread south to the western side of the Fertile Crescent, the Jordan Valley, and Egypt by 5,000 y ago (1, 21). Our analyses of relatedness between vinifera and sylvestris populations are consistent with archaeological data and support a geographical origin of grape domestication in the Near East (Fig. 4 and Table 1).
He also mentions that the oldest known wine barrel is from Armenia.
I understand that the data of fig. 4 suggest a domestication area between Turkey and Pakistan, with emphasis in the Caucasus region: Georgia, Azerbaijan and Daghestan specially. However Pakistani wild varieties cluster well also and I'd say it cannot be discarded that at least part of the development of this delicatessen crop happened maybe in the context of South Asian Neolithic.