Tip when wrapping: When assembling the buffalo turkey wrap, be careful not to overstuff it. This can make all the difference later when you’re wrapping it up. If the wrap is overstuffed, it will be very hard to roll it up and keep the wrap together. How to store: Buffalo turkey wraps are best eaten the same day or up to a day after. Although they can last for up a few days in the refrigerator, they will start to get soggy. If you want to make these ahead, I recommend prepping the ingredients and storing them in the refrigerator, then assemble and wrap before serving.