Preheat your oven to 375°F (190°C).
Heat the extra virgin olive oil in a small oven-safe skillet over medium heat.
Add the ground chorizo to the skillet and cook until browned and fully cooked through, about 5-7 minutes, breaking it up with a spatula.
Add the fresh baby spinach to the skillet and sauté until just wilted, then remove from heat.
In a small mixing bowl, whisk together the plain Greek yogurt, smoked paprika, sea salt, and black pepper until smooth.
Spread the yogurt mixture evenly over the chorizo and spinach in the skillet.
Use a spoon to create three small wells in the mixture and carefully crack one egg into each well.
Place the skillet in the oven and bake for 8-10 minutes, or until the egg whites are set but the yolks are still soft.
Garnish with chopped fresh chives and serve immediately directly from the skillet.