In this randomized, double-blind, parallel, placebo-controlled trial we compare the effects of semaglutide 1.34 mg/ml vs. normal dieting by randomizing the patients with both T2DM and overweight/obesity (BMI ≥27) (n=50, aged ≥18 to \< 65 years) to two groups: both groups participate in a similar lifestyle treatment to induce weight loss, but one group gets an add-on of semaglutide 1.34mg/ml while the other is treated with placebo. Additionally, a reference group of healthy normal weight non-diabetic individuals (BMI ≤ 25 kg/m2, n=25, aged ≥18 to \< 65 years) are included as controls at the initiation of the study.