Was Ancient Rome ever bigger than modern day Italy geographically?

The area controlled by the Roman Empire was much, much larger than just modern Italy.  

Rome was not since it's just the city but the Roman Empire was.

Are you asking if the city of Rome's municipal size, population and/or area, was ever bigger than the modern city is now?

That would be a no, but during the 1st and early 2nd Century AD it likely came close to about half the size of today's Rome. Which back then was among the largest in the world. 

No dipshit. Rome  was a city smaller than it is today. What was larger than Italy was the Roman Empire - the area controlled and occupied by the Romans. Duhhh. 

If you are talking about the city of Rome, it was never larger than the country of Italy.  It was not much different in size than it is today.  

If you are talking about the Roman Empire that it ruled over, it was much larger than Italy and included much of Europe, some of Asia Minor and some of northern Africa including Egypt.  

At one point it covered 1.06 milion square miles.  While the country of Italy is only about 116,000 square miles, or about 10% of the size of the Roman Empire.  

The Roman Empire was yes, but not Rome