In this paper, we assess the systemic risk of the Brazilian (re)insurance market using static and dynamic complex network approach, where the companies are connected to each other through co-insurance, reinsurance and retrocession transactions. We found that some local reinsurers and non-life insurers act as bridges connecting the local and international markets. Furthermore, the Brazilian (re)insurance market is robust to extreme scenarios of insolvency, although there are points of vulnerability: a few local reinsurers and non-life insurers. Finally, this study contributes to the creation of a stress testing framework that relies solely on publicly available data.