There are two flavors of Strada cranksets. I've had both, there are the "road" variety, which have a lip on the back for mounting a second chainring, and there are the "bmx" variety, which don't have the lip. Most people who have the road variety mill or grind the lip off if using them in a fixed/ss application.

I have never seen or heard of a "Pista Strada" crankset. The Strada crankset is almost identical to the Pista crankset, but not exactly the same. The Pista crankset is a bit thinner and lighter. The difference isn't very noticable, one says "Pista" on the back, the other says "Strada".

That said, either one will fit any 144 bcd ring, however it may look ugly if you get a ring that isn't a campy 144 bcd.