Wireless networks based on Network Coded Co-operation (NCC) have shown promising results in achieving faster and reliable communication. To make the next-generation wireless systems swifter, the nodes can be equipped to work in Full-Duplex (FD) mode. In this paper, we thus model a multi source-destination NCC scenario with a relay working in FD mode (FD-NCC) and propose a decoding scheme for it. FD schemes have the benefit of an increased achievable rate. Extensive simulations carried out in MATLAB show an improved performance for FD in terms of achievable rate when compared to a Half-Duplex NCC (HD-NCC) scenario. NCC systems aided by a FD relay, also provides higher throughput thus, making it suitable for applications requiring reliable low latency communication (RLLC) in 5G/6G scenarios.