Take filets out from the fridge and lay them out to room temperature. About 30 minutes or so.
Preheat oven to 425 degrees.
Season filets with salt and pepper after they have came to room temperature. You can also press gently into the filets to make sure the salt and pepper adheres well. No reason to season the sides of the filet though.
Heat a cast iron skillet on medium high heat. Add the olive oil and let it get sizzling hot before adding the filets on.
Add filets and cook them for 4-5 minutes, without touching them or moving them around.
Flip filets over and cook them 3-4 more minutes, again without touching them.
Then, transfer filets into the preheated oven and cook for 5-10 more minutes, depending on how done you want them to be.
Remove from oven and let them rest on a plate for 5 minutes before serving. You can also add a slice of butter on top and some fresh herbs here if you would like.
Serve and enjoy!