This quick and versatile dish can be made in the kitchen or on the grill.
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Preheat the oven to 375°F / 190°C. Sprinkle the pork loin with salt and black pepper.
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Heat 1 tablespoon of oil in a grill pan over medium-high heat.
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Grill the pork until it is golden brown all over, about 8 minutes.
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Add the rosemary sprigs to the grill pan.
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Transfer the pan to the oven and roast the pork until an instant-read meat thermometer registers 150°F / 65°C when inserted into the thickest part of the pork, about 20 minutes.
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Brush the pork with the Dijon mustard.
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Chop the parsley and thyme on a cutting board then mound the herbs to create an even bed that is the same length as the pork.
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Remove the pork from the grill pan (reserve the pan).
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Roll the pork in the herbs to coat the pork generously.
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Let the pork rest for about 10 minutes.
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Heat 1 teaspoon of oil in the reserved grill pan over medium-high heat.
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Add the asparagus and cook until the asparagus is bright green and crisp tender, turning them as needed, about 5 minutes.
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Remove the pan from the heat.
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Meanwhile, whisk the remaining 2 teaspoons of olive oil, the balsamic vinegar, and garlic in a medium mixing bowl to blend.
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Pour the vinaigrette over the asparagus in the pan and toss to coat.
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Season the asparagus with salt and pepper.
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Using a large sharp knife, cut the pork into thin slices.
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Arrange the pork on a serving platter and serve with the grilled asparagus.