The fillet
Marinate the fillet with salt and black pepper.

Heat oil in pan under medium heat.

When heated, fry the fillet till golden brown on both sides.

The egg.
Heat your pan till hot. Add oil.

Break the egg carefully inside the pan to avoid breaking the yolk.

Let it cook under low heat till the egg white is dry.

Sprinkle 2 tbsp of water in the pan. Cover with a lid. (The hot vapor from the water will cook the yolk perfectly).

Serve.