Refrigerate mussels in a bowl, and cover with a damp towel. Never store mussels in water or in an airtight container—either method will kill them. Mussels should be cooked as soon as possible, but keep for up to a week. To freeze, remove mussel meat from shells and wrap in freezer paper or plastic, then over-wrap with a plastic bag. Store for up to two months. To thaw, place mussels in refrigerator overnight. To thaw more quickly, wrap mussels in waterproof plastic and place in a sink with cool running water, allowing about 30 minutes per pound (about 454g). For fastest thawing, use the defrost cycle of your microwave allowing 3 to 5 minutes per 1/2 pound (227g). Let stand for 3 minutes.