In a saucepan of boiling salted water, cook the calamari and shrimp for 3 minutes, or just until opaque and tender. Drain and pat dry.
In a large bowl, combine the calamari, shrimp, scungili, celery, garlic, olives, and salt and pepper. Chill the mixture, covered, until ready to serve.
In a small bowl, whisk the lemon juice, oil, salt, and pepper together. Add the dressing to the seafood mixture along with the parsley and toss to combine.
Recipe courtesy of Fanny di Giovanni