Cut stem tips of zucchinis off and discard. Slice lengthwise into two pieces. Take a teaspoon and hollow out each half... scraping away seeds and core until smooth. Be sure to leave about 1/4 inch of flesh or the flute will be too weak. Set on baking tray.
Put the ricotta, basil, garlic, and half of the shredded Parmesan cheese into a food processor and blend until creamy. If too thick... add just a dab of olive oil. But not too much as you need the mousse to stand firm in the zucchini flutes.
Once you reach the desired consistency - scoop the mousse out of processor into a zip lock baggie or pastry bag. If using a baggie, snip off about 1/4" of the corner and squeeze baggie to pipe out mousse into the hollowed section of the zucchini. Stop short of the end by about 1/2", as the ricotta will expand when baking.
Sprinkle remaining Parmesan cheese along the top of flutes.
Put tray of mousse-filled flutes on middle rack of oven, baking for 20 minutes at 375 degrees.
Remove when zucchini is tender to a fork and the cheese has browned slightly. Once flutes are removed from the oven, sprinkle a few ricotta crumbles across the top and lightly drizzle with extra virgin olive oil.
