Samsung confirmed three months ago that it's working on a standalone virtual reality headset which is going to feature positional tracking, a technology found in high-end handsets like the Oculus Rift and HTC Vive. This means that Samsung is developing a headset that's going to compete against the Vive and the Rift. This also means that this standalone VR headset will not require one of Samsung's smartphones to function.
Recent applications by Samsung for registration of a trademark and logos reveal that the standalone headset is likely going to be called Odyssey. Samsung has filed for the registration of the brand name Odyssey in South Korea as well as for two logos including one which has “VR” in stylized letters. Descriptions provided in the trademark applications mention “virtual reality game headsets” and “virtual reality game software.” There aren't a lot of details available about this headset right now so it can't be said for sure how it compares to the current crop of high-end VR headsets, it's also unclear when Samsung is going to introduce this standalone headset. However, Samsung is expected to come out with the next-generation Gear VR headset in the near future.