What distinguishes a superior fresh mozzarella from the rest of the pack? Taste above all. The cheese should taste fresh with reminiscent of milk. It should be mild and delicate; some say it is bland, yet there is flavor. Fresh mozzarella is moist and soft, quick-melting, and delicate tasting. The Iavarone Family has been making Fresh Mozzarella over 4 generations and nearly 80 years. Our Fresh mozzarella is made from whole milk and has a softer texture and sweet, delicate flavor and is typically packed in water or whey.