Ospi Venice | Italian Restaurant in Venice, CASkip to main content Ospi Venice — Italian Restaurant in Venice, CA Reservations Ospi (short for ospitante meaning "host" in Italian) by Jackson & Melissa Kalb is an elevated celebration of a classic Brooklyn red sauce joint with a counterculture twist, influenced by Venice, CA. Ospi is our version of a casual lunch trattoria, familial dinner restaurant, and recovery brunch spot on the weekends.