For sure! I think we are doing the bridge with the markets. Maybe going to Rome for a day. Any suggestions? We will be there is February.
I'd go out of my way to spend a couple days in Rome. I've been there twice (total of 7 days) and it's my favorite in Europe. The other big plus is that it's not expensive because you don't need to take tours, pay to go see things, etc. You can just walk around and be amazed.
If you plan on taking rail from Florence, I'd recommend stopping in some hill towns along the way like Orvieto, which is a stop on the rail.
Bologna is another option. As a motorcycle fan, it was very cool to see the Ducati factory.
If you haven't booked tickets yet don't rule out open-jaw.