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Step 1
Sprinkle all sides of roast evenly with salt. Wrap with plastic wrap and refrigerate 18 to 24 hours.
Step 2
Adjust oven rack to middle position and heat oven to 225°F.
Step 3
Pat roast dry with paper towels; rub with 2 teaspoons oil and sprinkle all sides evenly with pepper. Heat remaining tablespoon oil in 12-inch skillet over medium-high heat until starting to smoke.
Step 4
Sear roast until browned on all sides, 3 to 4 minutes per side. Transfer roast to wire rack set in rimmed baking sheet.
Step 5
Roast until meat-probe thermometer or instant-read thermometer inserted into center of roast registers 115°F for medium-rare, 1 1/4 to 1 3/4 hours, or 125°F for medium, 1 3/4 to 2 1/4 hours.
Step 6
Turn oven off; leave roast in oven, without opening door, until meat-probe thermometer or instant-read thermometer inserted into center of roast registers 130°F for medium-rare or 140°F for medium, 30 to 50 minutes longer. Transfer roast to carving board and let rest 15 minutes.
Step 7
Slice meat crosswise as thinly as possible and serve.