Wrap basil around ricotta and bocconcini and tuck it all into delicate, fresh squash blossoms. Dip in egg and then in cornmeal, and fry as a first course teeming with tender seasonal goodness.
Put ricotta in a fine sieve set over a bowl. Let drain in refrigerator 3 hours or overnight. Discard liquid.
Season ricotta with 1/2 teaspoon each salt and pepper; stir until smooth. Transfer to a large pastry bag fitted with a coupler. Pipe 1 tablespoon ricotta onto 1 basil leaf. Place a small piece of bocconcini on top of ricotta; pinch leaf closed. Carefully open 1 squash blossom; place stuffed basil leaf inside blossom. Press gently to seal. Repeat with remaining basil leaves and squash blossoms.
Heat about 3 inches oil in a medium heavy saucepan over medium-high heat until it registers 365 degrees on a deep-fry thermometer. Put eggs and cornmeal in separate small bowls. Dip 1 stuffed blossom into the eggs, then into the cornmeal to coat. Fry in batches of 2 to 3 until golden, about 1 1/2 minutes. Transfer to paper towels using a slotted spoon; let drain. Season with salt. Serve immediately.