Season the filet mignons on both sides with salt and pepper.
Add the oil to a large frying pan or cast-iron skillet over medium-high heat until it begins to smoke lightly.
Add the steak, turn the heat down to medium and then add in the garlic cloves, thyme, and butter.
After 3 to 3 1/2 minutes flip the steak over and begin to baste them with the hot butter and oil from the pan. Cook for 3 to 3 ½ minutes to achieve a rare to medium-rare internal temperature.
Take the steaks out of the pan and let them rest on a plate for 5 minutes.
Serve the filets with the mushrooms and blue cheese butter
Notes
Make-Ahead: This is meant to be served as soon as the steak rests.How to Store: Cover and store this in the refrigerator for up to 4 days. It can also be frozen, covered for up to 3 months and covered in plastic. Thaw it in the refrigerator for 1 day before reheating.How to Reheat: Add your desired portion to a small sauté or roasting pan and pour ½ cup of beef stock over it. Cover the pan in foil and cook it in the oven at 400° for 5 to 7 minutes. Reheating your steak will 100% cause it to increase in internal temperature, most likely past medium and into medium-well.Cast iron or carbon steel are the best pans for a good sear.This is best prepared and served at a rare to medium-rare internal temperature to preserve as much flavor as possible.If you are unsure of the internal temperature, be safe and use a thermometer.Feel free to use your favorite steak seasoning.Maillard reaction, also known as the browning reaction, is an interaction between sugar and amino acids in the steak when heated to 285°and 350° over high heat, browning the meat to enhance the flavor and add more crispness. This is not the same as caramelizing.