In a heavy saucepan, combine the wine, broth, figs and pomegranate juice. Bring to a boil. Reduce heat and simmer until reduced by half. Turn off heat, and add butter and tarragon. Stir until the butter melts. Heat oil in a separate pan over medium-high heat. Sear the filet mignon steaks for about 3 minutes per side, for medium rare. Transfer to a serving platter, and let rest for a few minutes before serving. Spoon sauce over the filets and serve.