The ever-growing demand for electricity and a greater awareness of environmental issues have boosted the use of renewable energy resources within distribution networks. In this context, microgrids have allowed the integration of this type of generation along with an active role of users. Nevertheless, pursuing a massive integration of renewable energy resources under the concept of microgrids requires addressing several issues in advanced metering and communication. This paper presents a comprehensive review which includes both wired and wireless communications. Wired communication is focused on Power Line Communication (PLC), while wireless communication is focused on Low-Power Wide-Area Network (LPWAN), emphasizing on Sigfox, LoRa and NB-IoT. Also, the most relevant issues for the implementation of advanced metering in microgrids are presented and explained.