Modern architectures adopt large on-chip cache memory hierarchies with more than two levels. While this improves performance, it has a certain cost in area and power consumption. In this paper, we consider an emerging non volatile memory technology, namely the Spin-Transfer Torque Magnetic RAM (STT-MRAM), with a powerful cache replacement policy in order to design an efficient STT-MRAM Last-Level Cache (LLC) in terms of performance. Well-known benefits of STT-MRAM are their near-zero static power and high density compared to volatile memories. Nonetheless, their high write latency may be detrimental to system performance. In order to mitigate this issue, we combine STT-MRAM with a recent cache replacement policy. The benefit of this combination is evaluated through experiments on SPEC CPU2006 benchmark suite, showing performance improvements of up to 10% compared to SRAM cache with LRU on a single core system.