While arepas are best fresh, you can wrap any leftovers in plastic wrap and store them in the refrigerator for 3 or 4 days, or freeze them for up to 3 months. You can also freeze the uncooked arepas. Put squares of parchment in between the arepas to prevent them from sticking to each other. Then wrap them well in plastic wrap and put them in a resealable plastic bag. Uncooked arepas can be kept in the freezer for up to 6 months.