Yes, you can use non-Thermador cookware on Thermador cooktops, as they are designed to be compatible with a variety of cookware types. However, it is advisable to choose cookware that is suitable for the specific type of cooking surface you have. For instance, induction cooktops require magnetic cookware, such as stainless steel or cast iron, to function properly. It is important to ensure that the bottom of the cookware is flat and smooth for optimal heat transfer. While using non-Thermador cookware, you should also consider factors such as the material, size, and compatibility with the cooking method to achieve the best cooking results. For any specific recommendations regarding cookware types or styles, checking the current Thermador website may provide additional helpful information.