Preheat your sous vide machine to your desired doneness (for example, 130°F for medium-rare).
Season the filet mignon steaks with salt and pepper on all sides.
Place the steaks in a vacuum-sealed bag or Ziploc bag using the water displacement method, two steaks per bag.
Submerge the sealed steaks in the sous vide water bath, ensuring they are fully underwater. Cook for 1 hour.
Once cooked, remove the steaks from the bags and pat them dry with paper towels to remove excess moisture.
Heat a skillet over high heat and add the cooking oil and butter.
Once the butter is melted and the skillet is hot, sear the steaks for 1 minute on each side, spooning the butter over the steaks as they sear.
Serve the steaks immediately after searing.