Pat steaks dry and season with salt and pepper then set aside.
Heat a large skillet over medium-high heat until hot. Pour in the olive oil, once it's heated add the steaks to the skillet and cook undisturbed on the first side for about 3 minutes then carefully flip each one.
Continue to cook the steaks for another 3 to 4 minutes on the second side for rare to medium-rare. For medium, cook 4 to 5 minutes on the second side; for well-done, cook 5 to 6 minutes on the second side.
Remove the steaks from the skillet, set aside on a cutting board and cover with foil. (This helps the juices redistribute as the steaks rest).
In the same skillet, (there will be juices released from the steak in the pan) add the butter and minced garlic and cook for 1-2 minutes, or until fragrant.
Stir in the beef broth and heavy cream, deglazing the pot as you stir. Then add the parmesan cheese, oregano, and thyme and stir together on a low to medium heat.
Finally, add the sun dried tomatoes to the skillet and stir until the sauce is well combined. Continue stirring and on a low simmer for 5 minutes as the sauce thickens and bubbles.
Add the steak back in for 5 more minutes, spooning the sauce over the steak, until heated through.
Garnish with fresh chopped basil and grated parmesan and serve warm over mashed potatoes, rice or your favorite pasta!