An exterior rearview mirror assembly for a vehicle includes a mirror reflective element, a back plate, and an attaching element having first and second spring-loaded electrical connectors disposed thereat. The attaching element includes a cover element with the spring-loaded electrical connectors disposed thereat. The attaching element includes electrical leads that electrically connect to the spring-loaded electrical connectors and that electrically connect to an electrical connector. With the cover element attached at the attachment portion of the back plate, and with the back plate attached at the rear side of the mirror reflective element, the spring-loaded electrical connectors contact and are biased into electrical contact with respective electrically conductive elements disposed at the rear side of the mirror reflective element, and the electrical connector is disposed at the back plate and configured to electrically connect to a connector of a wire harness of the mirror assembly or of the vehicle.