An RFID tag reading system and method estimate bearings of RFID tags. When the RSSI of a primary and/or secondary RFID receive signal is below a threshold, a primary receive beam is steered in a limited scan to an array of locations distributed around the location at which the RSSI of the primary receive signal is a maximum, and the RSSI of the primary receive signal is recorded at each location. The recorded RSSIs are processed to determine an effective weighted center of distribution of the recorded RSSIs, and the bearing for the tag based on the weighted center of distribution is thus estimated.