A connector piece to cover the gap between two skirting profiles disposed at an angle to each other includes a body having a bend to correspond to the angle. The body has a front portion, a rear portion, and a cavity between the front portion and the rear portion. The cavity has end portions for receiving respective end sections of the skirting profiles. The front portion forms the exposed decorative contour of the connector piece. The rear portion includes an engagement device for a respective rear surface of the skirting profiles when the end sections of the skirting profiles are received into the cavity.