Eurail

Probably no pass. Most likely it will be less expensive just to buy point-to-point tickets in advance. What are your travel dates?

Did you mean to include Genoa above, or should it be Girona again?

If your trip is mostly within France, start at https://www.ricksteves.com/travel-tips/transportation/trains/france-rail-passes to learn how passes work. A pass for France-only (plus two seat reservation fees, priced as noted on the link) would cover Girona-Paris-Barcelona on fast TGV trains. A 2-day France pass may be available soon and benefits are subject to change.

Or you might just go ahead and book those two reserved train tickets with advance discounts, now for sale for travel though the first week of September. You might also want to fly in either direction; Girona also has an airport; see www.skyscanner.com.

Barcelona to Girona is a pretty cheap ticket to buy locally.

Did you mean to include Genoa above, or should it be Girona again?

Suspect OP means Genoa---- based on another topic OP posted , it looks like OP has a cruise that begins/ends in Genoa and then wants to got to Paris, before returning to Barcelona.

Eurail is a reseller of tickets - like a travel agent. It is not a railroad company. Rail passes provide convenience but in these days of deep discount tickets for earlier purchase, a rail pass for two or three trip is probably more expensive.

Basic source for railway travel info: www.seat61.com

It is so complete that at first impression it appears daunting. Persevere; it's worth it. You could start with his comments on rail passes.
I am surprised at the common assumption that rail passes are fundamental equipment. The only way to decide whether a pass is worthwhile is to price the point-to-point tickets first, then compare. Keep in mind that for trains requiring reservations (ex Paris to Barcelona) a passholder has to make that reservation separately, at extra cost. The single ticket, in contrast, includes the seat reservation.

Yes I meant Genoa that is the city where we depart for the cruise and return to Genoa also

I'm guessing that you will be better off with point-to-point tickets, after you take into account the reservation fees not covered by Eurail passes.

Another thing, loco2.com is a user friendly website for buying train tickets and is much cheaper than RailEurope.

https://loco2.com

Thanks for clarifying about the cruise. The train routes between Genoa and Paris that are covered by passes require 10 hours, two connections, and a seat reservation on the Nice-Paris leg. I'd again consider only a France pass at maximum, not a 3-country pass, but also would probably just fly from Genoa to Paris.

Hello again

I think we might have to fly because everything else seems extremely complicated. Add a son with Autism to the mix and there is room for disaster.. This is what it looks like
Land in Barcelona Sept 19 stay in an apart until Sept 27
We fly to Genoa on the 27th and board our ship on the 29th. I have reserved a 2 night hotel in Genoa (thanks to someone I already booked the plane tickets on Vueling)
We return from the cruise on October 5th.. Here is where Im stuck... I want to do Paris but we leave Oct 13th out of Barcelona.
No idea how we will get from Genoa to Paris and from Paris to Barcelona... Idid see some prices of around 50.00 per passenger to fly.. I guess its worth it bc the train rides seem quite long...

I think I need a travel agent my brain hurts!

You definitely don't need the well marketed often bought frequently misunderstood Eurail pass (a source of a lot of headache to travelers seeking advice on this forum) and you'd be better off flying to Paris from Genoa Now if you get sick of flying you could take train much easier Paris to Barcelona,

If you don't want to fly from Genoa to Paris (which will take a good 8 hours door-to-door) it is 10 hours with one change at Nice.

First leg is on the Italian Railways' "Thello" service, leaving just before 9 AM, arriving at Nice Ville midday. The train goes along the sea all the way. I've been on it, it is wonderful.

At Nice you've got just under two hours - time enough for a civilised lunch. Then at 1:53 PM your high speed TGV leaves for Paris, arriving at the Gâre de Lyon at 7:41 PM

So it is not really a 10 hour train trip, it is three hours, a two hour break, then five-and-a-half.

Does that sound better?

I would definitely buy point-to-point tix. At Loco2.com you can get them in an easy one-stop shop.

I do hope this helps and that you do decide to go by train. I feel strongly that air travel within Europe should be kept to a minimum.

Eurail is a reseller of tickets - like a travel agent.

Ops, Frank, you got the RailEurope "critic" mixed up with the Eurail one. RailEurope is the reseller of ticket, not Eurail, and I don't think I have ever seen tickets on RailEurope at a better price than directly from the National railroad companies.

Eurail doesn't sell tickets. They are a consortium of European rail and shipping lines organized to package and market rail passes. RailEurope does sell Eurail passes, sometimes at a better price than Eurail.

The only way to decide whether a pass is worthwhile is to price the point-to-point tickets first, then compare.

There are good ways to price point-point tickets, and there are not so good ways. Don't use prices from RailEurope, and (sorry) don't use Rick's pricing chart. Neither one reflects the best prices. It's best to use the website of the rail companies. In Germany, you can't beat the Bahn for prices. Ask here about prices. A lot of people here really know the systems and can find you better prices than you will find anywhere else. Sometimes the Bahn will say "Prices not available" because the travel is entirely inside a Verkehrsverbund and the Bahn doesn't sell tickets in competition with it's Verkehrsverbünde, but some of us know how to find those fares.