If I take a train from rome to paris over night does it count as three countries on the eurail 3 country pass?

Question

SORRY... IF I go through GENEVA!

I've done the overnight train before and I know it goes through Geneva(I just didnt buy my own ticket last time so I don't know)

Answer 1

Genoa ("Geneva"-as you wrote it) is part of Italy!

Answer 2

FRANCE BORDERS ITALY

Answer 3

There is a train, leaving Roma Termini at 18.40 and arriving at Paris Bercy at 9.10 that doesn't go through Switzerland, so it should only count as 2 countries.