France currently has two night train connections, compared to 8 in 2015. If you want to go to Rodez, a charming town in the Midi, you can board an Intercités train at Paris Austerlitz at 22:12. After about ten stops and a connection at Toulouse Matabiau, you will arrive at your destination at 9:46 am.
During the journey, the train serves Les Aubrais at 11:24 p.m., Souillac at 3:47 a.m., Gourdon at 4:05 a.m., Cahors at 4:35 a.m., Caussade Tarn et Garonne at 5:05 a.m., Montauban Ville Bourbon at 5:21 a.m., Toulouse at 6 a.m. (correspondence of 1:25 a.m.), St Sulpice Tarn at 7.48am, Rabastens Couffouleux at 7.55am, Lisle sur Tarne at 8.02am, Gaillac at 8.10am, Albi Ville at 8.24am, Albi Madeleine at 8.28am, Carmaux at 8.42am, Tanus at 8.57am, Naucelle at 9.08am, Baraqueville Carcenac Peyrales at 9.25am and Luc Primaube at 9.35am. Tickets are available from 25 euros one way if you book in advance.