Store ripe Roma tomatoes on your kitchen counter out of direct sunlight. Use ripe tomatoes within a few days. Ripe Romas can be stored in the refrigerator to slow down spoilage without a significant loss of flavor or texture. Don't refrigerate unripe tomatoes. Refrigeration causes the tomatoes to become mealy and flavorless.  Roma tomatoes freeze well for later use in soups and sauces. For long-term storage, consider canning your Roma tomatoes. Canning is a great way to preserve the nutritional benefits and flavor of Roma tomatoes for up to a year. Like frozen Romas, canned tomatoes are best in sauces and soups.