There are 2 train companies operating 3 routes - TGV Lyria, IC 522, 001 000. The cheapest train costs $55 and is 3h 44min.
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There are 2 ways to travel from Basel to Buxières-Les-Villiers. 2 trains and 1 by car are possible between the two areas. The by car from Basel to Buxières-Les-Villiers is the cheapest and fastest. The train operated by running from Basel to Villiers-le-Sec Mairie is the most convenient.
It's important to check each mode when booking your ticket so that you can find the best method for you. The cost of each type varies differently, so be sure to use Faretrotter to keep an eye out!