Heat 3 tablespoons olive oil in a large heavy skillet over medium heat. Add chorizo and sauté until lightly browned, about 3 to 4 minutes. Leave the chorizo in the skillet but remove pan from heat.
Bring a large pot of salted water to a boil. Add potatoes and simmer until tender but not mushy, about 12 minutes. Drain well and while still warm but cool enough to handle, quarter them. (If the potatoes are larger than 1 1/2 to 2 inches in diameter, cut them into 3/4 inch cubes.) Put potatoes in a nonreactive serving bowl, pour dressing over them, and toss to coat well. Add the chorizo and any oil in the skillet, eggs, chives, 1 teaspoon salt and 1/2 teaspoon black pepper. Mix well. Taste and add more salt and pepper if needed.
Let salad stand at cool room temperature at least an hour for flavors to meld. (Salad can be prepared 6 hours ahead, as the salad improves in flavor; cover and refrigerate. Bring to room temperature for 30 minutes before serving.)
Serve potatoes at room temperature. Garnish the center with a few chive sprigs, if desired.
Nutrition information per serving:
Calories396Fat29 gSodium1,000 mg