To transform these Italian Butterball Cookies into a gluten-free rendition you can easily replace the traditional all-purpose flour with your favored gluten-free flour blend. When choosing a blend opt for one particularly designed for baking as it usually holds a medley of flours and starches that reproduce the texture of gluten-containing flour. Additionally bear in mind that gluten-free doughs often demand a touch of moisture so feel free to add a little extra liquid if the dough seems too crumbly.