Luna Piena (53rd bet 2nd & 3rd) reopened last week after renovations. They've done away with the step from the sidewalk - its a little ramped now, and they seem to have enclosed the back patio. I can't tell whether they can open the roof in nice weather or not. That certainly gains them a lot of usable tables. The head person told me the menu is "the same", but it wasn't posted so I don't know about prices. I was rushing off to the subway when I noticed they're back. I'll try it soon.