Meeting daughter in Florence, want to go to Naples/Sorrento end in Rome

Sounds perfectly feasible to me. You might even have time to explore a bit between Florence and Naples if you drove instead of taking the train. So many beautiful hill towns... Siena would be so worth a stop. Orvieto too.

This will be an amazing trip! You are hitting my three favorite areas in Italy. :)  I agree with Mary that your itinerary is doable in your time-frame and also that trains are the way to go (with one caveat). 

I would caution against using the Circumvesuviana between Naples and Sorrento.  There are so many pickpockets on that train and with luggage it will be hard to keep track of everything.  Instead I would recommend taking a bus or hiring a driver.  If you are traveling from Florence to Sorrento, you could take the train from Florence to Naples, then a bus from Naples to Sorrento.  Or hire a driver from Naples to Sorrento.

I did a similar itinerary with my husband and daughter in 10 days (Siena, Sorrento, Rome).  We decided to take a bus on a direct route from Rome to Sorrento (it made one stop along the way). We took the Marozzi bus.  If you'd like to hire a driver through the Amalfi coast (or from Naples), I would HIGHLY recommend Nunzio.  We have used his services on two different trips.

Florence is a beautiful city and there is so much to do there.  You might want to wait until you get there before you decide whether or not to go to Pisa.  While the leaning tower is great, maybe you will want to save it for your next trip to Italy.  I wrote an article on Florence if you're interested (although the article is with a focus on kids, most of it applies to adults, too).

If you need recommendations on places to stay, let me know.

Have a great trip.

Your itinerary is both possible and perfectly feasible  and, frankly, using the train is by far the best idea. The historical centres of almost all Italian cities and towns, and many villages too, have ZTLs (restricted traffic zones) which are increasingly monitored by CCTV cameras and with automatic fines (taken from your car rental card, plus admin fees). Rome, Florence, Pisa and  Naples all have ZTLS and Sorrento has a ZTL which operates at different times during the year. If you use a car you won't be able to stay in hotels which are in the ZTL and will end up parking (which is frequently both difficult and expensive) outside the ZTL and then either walking or taking public transport into and out of the historical centre.

Italian trains are safe, comfortable enough, reasonably-priced and have an extensive network which includes high-speed trains (which are faster than driving). There is plenty of space for luggage, platforms have electronic signage (train number, destination & intermediate stations) and ticket machines are easy to use with English language options.

Use the official Italian website in English to find train times, details and fares for all routes. 

http://www.trenitalia.com/tcom-en

You need to use the Italian for Rome (Roma), Florence (Firenze) and Naples (Napoli). The main stations are Roma Termini, Firenze Santa Maria Novella (Firenze SMN) and Napoli Centrale.

Another company, Italo, also runs high-speed trains on some routes. Fares, routes, times and stations are much the same as the high-speed Freccia trains run by Trenitalia:

https://www.italotreno.it/en

Both companies have very good discounts for the high-speed trains if tickets are booked online in advance and I suggest you do that once you have finalised your itinerary. You don't need to buy tickets online for e.g Florence to Pisa: they are no cheaper and it's easy to get from the ticket machine on the day, or the day before.

Sorrento does not have a mainline station but is served by the local commuter trains: the Circumvesuviana. They are more like Metro trains than mainline trains, run frequently and are safe (if a bit scruffy on their exteriors). Use normal city commonsense to guard against pickpockets and petty thieves at all stations and on all trains.

The Napoli>Sorrento Circumvesuviana stops at Napoli Garibaldi station, which adjoins Napoli Centrale station and is linked by an undercover walkway (with shops etc). It's very easy indeed to take the train from Rome to Napoli Centrale then walk through to Napoli Garibaldi, buy your Circumvesuviana ticket and take the train to Sorrento (the terminus of that line). Here's the timetable:

https://www.eavsrl.it/web/sites/default/files/eavferro/Napoli%20Sorrento.pdf

You've allowed whole days for travel but the trains are much faster than I suspect you realise. Rome>Naples takes just over an hour, Rome to Florence from 1.5 hours.....I think you'll have much more time to explore than you expect! :-)

By the way, Sorrento is an excellent base for exploring the Amalfi Coast. As well as being a very pleasant and historical town in itself you can take the Circumvesuviana directly to Pompeii, Herculaneum and Naples, you can take the high-speed ferry to Capri and you can take the excellent bus which travels the Amalfi coast road to Positano and Amalfi. Make sure you sit on the right from Sorrento, and on the left from Amalfi, for superb views of the coastline!

Enjoy your planning! :-)

Sorrento is such a great base for day trips. Three days there is hardly enough. You definitely need a car. I wouldn't want to miss a day trip to Capri (the ferry leaves from Sorrento). Another day trip would be to Naples (not far) which is a historical and gastronomical treasure trove.  The drive along the Amalfi Coast is one of the world's greatest scenic drives. Positano. Amalfi. and Ravello are must stops and each of them worth half a day. The Roman cities destroyed by the eruption of Mount Vesuvius make a great day trip (Pompei and Herculaneum) and you'll remember them for the rest of your life. One of the best Greek sites isn't in Greece. Paestum was a major ancient Greek city on the coast of the Tyrrhenian Sea in Magna Graecia (southern Italy). The ruins of Paestum are famous for their three ancient Greek temples in the Doric order, dating from about 600 to 450 BC, which are in a very good state of preservation. Paestum is another easy day trip from Sorrento. By the way, Sorrento itself is a great small city. It is a tourist place but there are also plenty of real Italians who live and work there. Spending at least one day just hanging around Sorrento is pretty much essential.

yes, it is possible

I did by train

good luck and enjoy

when you go to Sorrento, you should go to Capri, Amalfi and Ravello

They are amezing

best wishes

Yes, it is feasible.  Personally, I would take the train from Florence to Rome to Sorrento (Naples actually and the Circumvesuviana train to Sorrento - we had no problems on this train but we did secure everything and were watchful).  The Italian trains are fast and fun.  You get to see the countryside without the hassle of renting a car and figuring out routes, etc.  As Mary says, you can order tickets on line before you go and pick them up at a kiosk at the train station.  Also, driving in Italian cities can be very challenging (ditto Mary).  When in Florence, if you want to visit the Uffizi Gallery or the Academia, be sure to book ahead so you don't have to wait in line.  And personally, given your tight time line, I would skip the day trip to Pisa.  If you have a half day, you could consider taking a bus to Fiesole and then walking or busing back.  It is a small town up in the hills just north of Florence with nice restaurants, pretty views and an ancient Roman amphitheater.  Buses are easy to figure out, I think it is the bus #7 from La Pira near the Museo di San Marco.  There is also very good bus service to Siena or other Tuscan hill towns making good day trips.  We took the public bus from Sorrento to Amalfi and spent a nice half day in Amalfi and a little town next door that we walked to.  It was a fun trip.  Hope you have fun, too, whatever you do.

Yes, 10 days is doable. I took a similar trip in 12 days. Flying into Rome and then renting a car and driving to Florence. As others have mentioned the LTZ does make it more difficult but not impossible. We stayed 3 days taking side trips. Based on a referral from a local, we took a day trip driving to Pisa for the leaning tower and lunch and then went on to drive to Lucca, a beautiful walled city and Forte dei Marmi. It is a seaside town at the foot of the Carrera Mts. On another day we drove south to Volterra, It is known for its alabaster. Siena, Orvieto, Cortona are all beautiful. You can't go wrong staying in Tuscany.  

Driving allows detours. After seeing Cortona we had extra time and chose to drive to Assisi. It is a beautiful city with the breathtaking Basilica of San Francesco d'Assisi. A church built over a church over the crypt of St Francis. 

Driving between cities was easy. Signs and rest areas are frequent. A suggestion we followed, was not to drive to fast as to "challenge" or to slow to upset. Overall we drove round trip from Rome up to Fort di Marmi and down the coast to Praiano, a ruins site in lower Italy. We did need to park outside the walls of LTZ in one city, possibly Siena, in a lot not far from the hotel. It wasn't bad but a bit difficult pulling a large suitcase on cobbled streets. 

The drive on the Amalfi coast is a bit harrowing and not for the faint of heart. 

On our return from Amalfi to Rome for our flight we stayed in Naples. It was our least favorite city. The people were consistently rude, the city was dirty (we lived in NYC, so a lg city was normal). We had stayed in Rome on a previous trip but if you have not seen it I recommend more time there than Naples. Enjoy your trip and if you drive, follow you whims. This is my favorite country and wonderful to explore.

Short answer is "yes", longer answer is "take the train" as they are fast, reliable and you get more time to see the countryside go by.

Pisais but a short drive from Province of Florence, I've never taken the train there, but I am sure it can be done.  It is a short & simple day trip. Look online to acquire Florence Museum passes, otherwise, you will be stuck in very long lines waiting to get into the museums, as they are very popular with tourists. Be sure to visit the Dome, it is amazing ! 

There are close to 20 trains per day from Florence to Naples, with an average trip time of two hours and 50 minutes. The Amalfi coast is further south of Naples so you would have to find the correct train schedule to determine how to get there, and to acquire accommodations as well.

The same issue for you to get back to Naples so you can catch a Rome bound train. This is a very popular route, with nearly 90 trains per day headed to Rome. Train travel time is just over an hour, so you will need to acquire Rome accommodations and you are all set.

I would suggest that you stay in a hotel somewhere near to the "old city" of Rome, as Rome traffic is fierce, and the Rome Metro has a limited number of Metro stops.  Use Google and plan this part of your trip carefully.

To summarize;  I would not suggest renting a car anywhere, driving in Italy is a challenge, parking is never simple, and you would need to be aware of what the Italian language traffic signs are telling you.

Yes, there are pick pockets everywhere in Europe during the summer. Keep an eye on your things, keep your wallets and passports hidden safely, and be aware of people who are attempting to stand or loiter next to you !

Short answer is "yes", longer answer is "take the train" as they are fast, reliable and you get more time to see the countryside go by.

Pisais but a short drive from Province of Florence, I've never taken the train there, but I am sure it can be done.  It is a short & simple day trip. Look online to acquire Florence Museum passes, otherwise, you will be stuck in very long lines waiting to get into the museums, as they are very popular with tourists. Be sure to visit the Dome, it is amazing ! 

There are close to 20 trains per day from Florence to Naples, with an average trip time of two hours and 50 minutes. The Amalfi coast is further south of Naples so you would have to find the correct train schedule to determine how to get there, and to acquire accommodations as well.

The same issue for you to get back to Naples so you can catch a Rome bound train. This is a very popular route, with nearly 90 trains per day headed to Rome. Train travel time is just over an hour, so you will need to acquire Rome accommodations and you are all set.

I would suggest that you stay in a hotel somewhere near to the "old city" of Rome, as Rome traffic is fierce, and the Rome Metro has a limited number of Metro stops.  Use Google and plan this part of your trip carefully.

Short answer is "yes", longer answer is "take the train" as they are fast, reliable and you get more time to see the countryside go by.

Pisais but a short drive from Province of Florence, I've never taken the train there, but I am sure it can be done.  It is a short & simple day trip. Look online to acquire Florence Museum passes, otherwise, you will be stuck in very long lines waiting to get into the museums, as they are very popular with tourists. Be sure to visit the Dome, it is amazing ! 

There are close to 20 trains per day from Florence to Naples, with an average trip time of two hours and 50 minutes. The Amalfi coast is further south of Naples so you would have to find the correct train schedule to determine how to get there, and to acquire accommodations as well.

The same issue for you to get back to Naples so you can catch a Rome bound train. This is a very popular route, with nearly 90 trains per day headed to Rome. Train travel time is just over an hour, so you will need to acquire Rome accommodations and you are all set.

I would suggest that you stay in a hotel somewhere near to the "old city" of Rome, as Rome traffic is fierce, and the Rome Metro has a limited number of Metro stops.  Use Google and plan this part of your trip carefully.

Short answer is "yes", longer answer is "take the train" as they are fast, reliable and you get more time to see the countryside go by.

Pisais but a short drive from Province of Florence, I've never taken the train there, but I am sure it can be done.  It is a short & simple day trip. Look online to acquire Florence Museum passes, otherwise, you will be stuck in very long lines waiting to get into the museums, as they are very popular with tourists. Be sure to visit the Dome, it is amazing ! 

There are close to 20 trains per day from Florence to Naples, with an average trip time of two hours and 50 minutes. The Amalfi coast is further south of Naples so you would have to find the correct train schedule to determine how to get there, and to acquire accommodations as well.

The same issue for you to get back to Naples so you can catch a Rome bound train. This is a very popular route, with nearly 90 trains per day headed to Rome. Train travel time is just over an hour, so you will need to acquire Rome accommodations and you are all set.

I would suggest that you stay in a hotel somewhere near to the "old city" of Rome, as Rome traffic is fierce, and the Rome Metro has a limited number of Metro stops.  Use Google and plan this part of your trip carefully.

Yes! We drove several times and took train.loved to drive as we saw so much more and stopped at several small villages.i would skip Pisa!

Short answer is "yes", longer answer is "take the train" as they are fast, reliable and you get more time to see the countryside go by.

Pisais but a short drive from Province of Florence, I've never taken the train there, but I am sure it can be done.  It is a short & simple day trip. Look online to acquire Florence Museum passes, otherwise, you will be stuck in very long lines waiting to get into the museums, as they are very popular with tourists. Be sure to visit the Dome, it is amazing ! 

There are close to 20 trains per day from Florence to Naples, with an average trip time of two hours and 50 minutes. The Amalfi coast is further south of Naples so you would have to find the correct train schedule to determine how to get there, and to acquire accommodations as well.

The same issue for you to get back to Naples so you can catch a Rome bound train. This is a very popular route, with nearly 90 trains per day headed to Rome. Train travel time is just over an hour, so you will need to acquire Rome accommodations and you are all set.

I would suggest that you stay in a hotel somewhere near to the "old city" of Rome, as Rome traffic is fierce, and the Rome Metro has a limited number of Metro stops.  Use Google and plan this part of your trip carefully.