In reply to Oogachooga:
Or, if you have a head for heights and can cope with exposed ladders (or take a VF kit), hike up the Mer de Glace to Couvercle Refuge and Bivvy up on the shelf just before the hut beneath Aig. du Moine, looking up at Jorasses, Dent de Geant, the upper Mer de Glace and of course Mont Blanc. Very nice, even as just a day hike. Obviously need axe/crampons for the glacier as well (assuming that when you are there the glacier is dry).
Edit: actually, re-reading, maybe you meant you only have an evening followed by a full day, so not enough time to walk in for the bivvy at the refuge. But you could bivvy on the way up to the train station and do the glacier-hut return in a day.
Post edited at 13:55