In a large Dutch oven over medium, heat 2 tablespoons oil until shimmering.
Add the onions and ½ teaspoon salt; cook, stirring occasionally, until lightly browned, about 10 minutes.
Add the chorizo and tomato paste, then cook, stirring often, until the paste browns and slightly sticks to the pan, about 2 minutes.
Add the paprika, beans, collard greens and 8 cups water.
Bring to a boil over medium-high, then cover, reduce to low and simmer, stirring occasionally, until the greens are very tender, about 30 minutes.
Off heat, taste and season with salt and pepper.
Serve drizzled with additional oil.
