Tournus / Mâcon

Train stations at Mâcon and Fleurville (but note that few trains stop at the latter)
TER regional line Paris > Dijon > Beaune > Chalon > Mâcon > Lyon (numerous trains – you can transport your bike free of charge, although the number of spaces for bikes is limited)
TGV high-speed train line Paris > Mâcon-Loche (1 hr 40 mins), with a limited number of spaces available for bikes, if reserved in advance (6 bikes per train, by reservation only).