In Wi-Fi networks, CSMA/CA ensures that access points (AP) in conflict with each others cannot transmit at the same time. An AP detects a conflicting AP when the received signal strength is greater than a certain threshold. This mechanism sets the medium spatial reuse that strongly impacts the throughput that may be offered by the Wi-Fi network and the users quality of experience. The knowledge of the different conflicts is thus crucial if we want to optimize the Wi-Fi network. In this paper we propose to take benefit of all local statistics information gathered by APs wireless interfaces to reconstruct the global conflict graph, i.e. the graph that represents AP in conflict with each others. Our methodology is based on APs statistic information available in profile counters. Consequently, our method does not rely on complex captures or synchronization. The proposed method is a work in progress for which we propose a proof of concept through a first set of simulations.