Preheat oven to 425°. Remove silver skin from tenderloin, leaving a thin layer of fat. Sprinkle pork with salt and pepper. Cook pork in 6 tsp. hot oil in a large skillet over medium-high heat 3 minutes on each side or until golden brown. Transfer pork to a lightly greased jelly-roll or roasting pan, reserving drippings in skillet.
Bake pork at 425° for 18 to 20 minutes or until a meat thermometer inserted into thickest portion registers 150°. Remove from oven; cover and let stand 10 minutes or until thermometer registers 155°.
Meanwhile, add remaining 1 tsp. oil to hot drippings in skillet. Add apricots and next 4 ingredients, and sauté over medium-high heat 3 minutes or until pine nuts are toasted and fragrant. Add port wine and next 2 ingredients. Bring to a boil; reduce heat to low, and simmer 5 minutes or until mixture slightly thickens. Stir in broth, and simmer 15 minutes or until fruit is tender. Serve with pork.