A microelectromechanical mirror device includes a fixed structure defining a cavity, a tiltable structure elastically suspended above the cavity and carrying a reflecting surface, and having a main extension in a horizontal plane. A first pair of driving arms carry respective piezoelectric material regions that are biased to cause a rotation of the tiltable structure around a first rotation axis parallel to a first horizontal axis of the horizontal plane, and elastically coupled to the tiltable structure. Elastic suspension elements that couple the tiltable structure to the fixed structure at the first rotation axis are stiff with respect to movements out of the horizontal plane and yielding with respect to torsion around the first rotation axis, and further extend between the tiltable structure and the fixed structure. The elastic suspension elements have an asymmetrical arrangement on opposite sides of the tiltable structure along the first rotation axis.