Cut potatoes into small cubes. Dice onion and red pepper.
Heat large saute pan over medium high heat. Add 1 tbsp butter and 1 tbsp olive oil. Add onion, potato, red pepper, and oregano. Season with salt and pepper. Fry over medium high heat for 15 minutes, or until golden and fork tender.
In a separate pan, heat leftover brisket over medium heat just until heated through. Remove from heat.
Cook eggs as desired. For sunny side up, crack egg into a greased frying pan over medium high heat. Reduce heat to medium and cook until white has set.
Top potatoes with brisket meat and fried egg. Sprinkle with chives to serve.
