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1
Prepare grill.
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2
Make butter: In a small bowl stir together butter ingredients with salt and pepper to taste until well blended and juice is incorporated.
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3
Grill Steaks: In a heavy-duty sealable plastic bag or between 2 sheets of wax paper crush peppercorns and anise seeds with bottom of a heavy skillet.
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4
Pat steak dry and coat both sides with peppercorn mixture, pressing it in.
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5
Season steak with salt and brush both sides with oil.
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6
Grill steak on an oiled rack set 5 to 6 inches over glowing coals 4 to 5 minutes on each side for medium-rare meat.
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7
(Alternatively, steaks may be grilled in a hot well-seasoned ridged grill pan over moderately high heat.)
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8
Transfer steak with tongs to a platter and let stand 10 minutes.
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9
Top steak with dollops of anise basil butter.
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10
Prepare grill.
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11
Quarter fennel bulbs lengthwise into wedges.
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12
In a steamer set over boiling water steam fennel, covered, until just tender, 8 to 10 minutes.
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13
Brush fennel quarters with oil and grill on an oiled rack set 5 to 6 inches over glowing coals 2 to 3 minutes on each side, or until golden.
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14
(Alternatively, fennel may be grilled in a hot well-seasoned ridged grill pan over moderately high heat.)
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15
Transfer grilled fennel with tongs to a serving dish.
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16
Squeeze lemon to taste over fennel and season with salt and pepper.