from Miami:

Selected fastest/cheapest connections through Londyn-Gatwick (LGW):

16/17.08.2023: FLL (Miami) 20:50 - LGW (London Gatwick) - TRN (Torino) 19:30 (Norse, easyJet) 295€ - check the current price

return:
On the Torino-Paris line, there is a high-speed train - TGV
28.08.2023: ORY 15:30 - MIA 19:20 (French bee) 280€ - check the current price

total price: 575€     update: 22.05.2023

further travel in Italian and French Alps