Hi landries,
Based on the information provided, nobody could accurately answer the question.
The only way to answer the question would be to have an LED and 26650 equal to the ones you are using to test. As different 26650s are going to have different behavior, and each P7 will have a slightly different effective Vf...
In some cases, if the Vf of your LED is high enough, and the natural resistance in your design is high enough, you won't need any resistor at all. In other cases, with a low Vf and low resistance cell and host, you may need quite a but of added resistance.
Usually the best way to decide on a final resistor to use is to experiment. Start with a "relatively" high resistance and work your way down. Or use an adjustable resistor and a multi-meter to find an optimal point. Do testing with a freshly charged cell, so that your maximum current desired occurs at that point.
I'm guessing that your final required resistance will be somewhere between 0 and 0.33 ohm.
Hope that helps
-Eric