If using within 1 or 2 days wrap asparagus in damp (not wet) paper towel and then in aluminium foil. Store in the crisper section of the fridge. If keeping the asparagus longer, say up to 5 days, trim the bottom of the spears and place them in a glass or mason jar with 1-2 cms of water. Cover loosely with a plastic bag and store in the fridge.