Preparation
Season the steaks generously with salt and pepper. Prepare a medium-high gas or charcoal grill fire (400°F to 475°F). Clean and oil the grill grate.
Heat a 12-inch skillet over medium heat. Add 1 Tbs. of the butter and the olive oil. Once the butter has melted, add the shallots and sugar. Cook, stirring often, until the shallots are soft, about 2 minutes. Add the Cognac and cook, stirring, until almost evaporated. Add the wine, increase the heat to high, and cook until the pan is almost dry, about 4 minutes. Add the stock and a pinch of salt, and bring the mixture to a boil, stirring to scrape the browned bits from the bottom of the pan. While the sauce is boiling, add the blueberries and cook, stirring often, until the sauce is thickened, about 5 minutes.
Remove the pan from the heat, carefully pour the sauce into a blender, and purée until smooth. Return the sauce to the pan, add the remaining 1 Tbs. butter, and heat until the butter is melted, 1 to 2 minutes. Season to taste with more salt.
Grill the steaks, covered and turning once, until done to your liking, 8 to 10 minutes for medium rare (145°F). Transfer to a serving platter, and let rest for 10 to 15 minutes. Serve the steaks, passing the sauce at the table.
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