Budget hotel with free wifi a short walk from eiffel tower walk to the tower budget friendly htel saphir grenelle puts you less than a 20 minute walk from the eiffel tower youll be 2 minutes from the nearest metro station la motte picquet grenelle riverside stroll the banks of the seine make a lovely place for a stroll and you could catch 1 of the bateaux mouches tour boats from pont de lalma just beyond the tower if youre into military history les invalides is a must visit within