308 Little Lonsdale St, Melbourne (map)
Little Peninsula is in Little Lonsdale St, just across the road and down a bit from Horse Bazaar. Both their menu and their wine list are crammed with goodies from the Mornington Peninsula. I have it on good authority that their antipasto platter is excellent, but when I visited it the other week, I only had time for a hot chocolate... but what a hot chocolate it was!
Fräus hot chocolate is popping up in discerning cafés and restaurants all over town. The Fräus team have a great little crêperie over in North Melbourne which I visited last year and liked very much.
Their Italian-style hot chocolate is delicious but so insanely rich and thick that you can't really just pick it up and drink it (instead, one eats it with a teaspoon), and a glass of water is needed on standby. Fabulous on a wintry afternoon!