Beverages and other beverage products are sweetened with at least one non-nutritive sweetener, such as a compound from the stevia plant, e.g., stevioside and/or rebaudiosides, and further comprise glycerine in an amount at least sufficient to enhance the mouthfeel. In certain exemplary embodiments a beverage comprises glycerine in an amount sufficient to provide good mouthfeel to the beverage, yet not otherwise perceptibly affect the taste, i.e., not otherwise perceptibly increase sweetness. Non-nutritive sweetened beverage compositions, natural beverage compositions, and beverage concentrates incorporating steviosides and glycerine are also provided. In addition, a method for including glycerine in a beverage formulation to enhance the mouthfeel of a beverage sweetened with a compound from the stevia plant is provided.