Place potatoes in cold salted water and bring up to a boil, simmer 1 minute. Remove with a slotted spoon. Add beans to water and simmer for 3 minutes. Remove with slotted spoon.
In a saute pan over medium-high heat, heat 1/3-cup extra-virgin olive oil. When oil is hot add potatoes and cook for 8 minutes until light brown. Add garlic and season with salt and pepper. When garlic is light brown, add the chili flakes and saute for 10 seconds, then add oregano
. Continue to saute for 4 minutes. Using your hands, squeeze the tomatoes between your fingers right into the pan. Add 1 cup cold water. Add broad beans. When it comes to a simmer, reduce heat to low and simmer
for 10 minutes. Turn off and let sit 5 minutes, then stir in remaining olive oil. Taste and adjust seasoning, if needed, and serve immediately.