Originally Posted by pinniped

The fact that doing all of India would take years shouldn't deter one from spending a week there. I'd take advantage of the fact that you're close already (geographically), select a sensible one-week itinerary, and then decide if it's a country that you want to invest future time in.

I don't think anybody here has given the impression that one week is enough time to fully experience all of any of these countries. It's simply what the OP has available.

Even in Italy, I would seek to minimize the total time I spent on trains or in a rental car in a one-week trip. I'd probably pick a region of interest and select a few locations in and around there.