Place Rossetti is in the Vieux Nice, full of restaurants (some good, some touristy). There is also a great ice cream vendor with a zillion flavors. The church St. Reparate is a great place to listen to baroque music. Many locals and tourists pass through this square and depending on the time of year there are some events (music, xmas...) It is definitely a part of the vieux nice "tour"..
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