Grilled Steak with Balsamic Onions

1/4 cup unsalted butter, divided

1 large shallot, minced

3/4 cup balsamic vinegar

1 large fresh rosemary sprigs

1 lb mixed sweet & red onions

2 green onions, sliced

2 Tb Italian parsley

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2 Tb olive oil

4 Steaks

Melt butter in heavy small saucepan over medium heat. Add minced shallot and cook until translucent, about 2 minutes. Add vinegar and rosemary and simmer until syrupy and reduced to 1/2 cup, about 6 minutes. Remove from heat.

Prepare barbecue (medium-high heat). Peel sweet onions, then cut into wedges. Drizzle with oil; toss. Sprinkle with salt and pepper. Sprinkle steaks with salt and pepper. Grill sweet onions in a grill pan, about 10 minutes for sweet onions. Move onions to cooler part of grill to keep warm. Grill steaks to desired doneness, about 7 minutes per side for medium-rare. Transfer steaks and onions to platter; cover.

Remove rosemary sprigs from balsamic sauce; add green onions and parsley and bring to simmer. Toss the onions in and season sauce to taste with salt and pepper. Drizzle sauce over steaks.