Here's the latest I've been able to find:
"March 24th 2006: 4 hours nationwide strike (1200-1600) of Enav Acc Rome air traffic controllers. --- Strike could disrupt flights nationwide.
March 24th 2006: 4 hours nationwide strike (1200-1600) of Enav air traffic controllers. --- STRIKE CANCELED"

So, it looks like the nationwide strike is cancelled, but there is still one scheduled for Rome.
Our flight from Frankfurt is scheduled to land in Rome on Mar 24 at 12:05!! Guess it's out of my control, so we'll just have to see what happens.
You can monitor it at:
http://www.seekitaly.com/news/from_roma.html#strikes

We fly out of Ciampino (Rome) ate 5:15pm on the 24th, does anyone know if this is likely to affect us?