To evaluate if the supplementation for three months with Lactobacillus reuteri DSM 17938 (108 CFU) + Vitamin D3 (400 IU) result in a reduction of the degree of allergic bronchial inflammation, measured with the Fractional exhaled nitric oxide (FeNO) and with a series of markers of bronchial inflammation (measured at 'beginning and at the end of the treatment on exhaled condensate): Interleukin 2(IL-2); Interleukin 4 (IL-4); Interleukin 10(IL-10); Interferon γ (IFN-γ).