Carefully pull apart the 2 lobes of the foie gras with your hands and remove the veins that are lodged between them. Using a sharp knife dipped in boiling water, cut each lobe into 1-inch medallions, approximately 6 (4-ounce) slices. Score the top of each medallion in a diamond pattern and season with salt and pepper. Sear the medallions in a hot, dry pan for 30 seconds per side, seasoned side down first. Remove to a warmed platter lined with paper towels to drain.
Lower heat to medium and pour out a bit of the rendered duck fat. Fry the bread rounds until brown, about 2 minutes each side, set aside. Wipe out the pan and coat with olive oil. Brown the figs, cut side down, then add the shallots and tarragon. Cook for 2 minutes. Deglaze the pan with port, juice of 1/2 orange and balsamic vinegar, cook down, about 3 minutes. Finish off the sauce with butter, a pinch of sugar, orange zest, salt and pepper.
Combine the endive, arugula and chives together in a small bowl. Toss with remaining orange juice, lemon juice and olive oil, season with salt and pepper. Arrange a handful of salad on each plate and lay the toast on top. Carefully place a foie gras medallion on each toast round. Top with figs, drizzle with port wine sauce. Garnish with chives and serve at once.
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