It's expensive to drop off a rental car in another country.
The train takes about 6.5 hours travel time, so you should have no problem getting to Basel by 8p.
For times and booking, enter Genova Piazza Principe to Basel Sbb on www.trenitalia.com/tcom-en - normally bookable four months in advance and cheapest then, though the connection from Genoa is not yet online for time you want after the minor timetable change in June 11. It will appear online in time.
The Trenitalia website only allows booking five people at once, though for subsequent groups it does allow booking near to a previously booked seat. The USA agent https://www.italiarail.com/ permits booking twelve people in one simple transaction, though it won't allow you to choose seats from a seating diagram of the train car.
Thank you.... We need to get to Basel by 6pm you said 8pm so it would not work.
I meant to write 6pm. Start with a 9 or 10AM departure, add 6.5 hours and you still get there mid-to-late afternoon.
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