A semiconductor device includes a carrier, a power semiconductor die that includes first and second opposite facing main surfaces, a side surface extending from the first main surface to the second main surface, and first and second electrodes disposed on the first and second main surfaces, respectively, a die attach material arranged between the carrier and the first electrode, wherein the die attach material forms a fillet at the side surface of the power semiconductor die, wherein a fillet height of the fillet is less than about 95% of a height of the power semiconductor die, wherein the height of the power semiconductor die is a length of the side surface, and wherein a maximum extension of the die attach material over edges of a main surface of the power semiconductor die facing the die attach material is less than about 200 micrometers.