Preheat oven to 425 degrees F. Remove steaks from refrigerator to allow to come to room temperature. Stir together butter and basil and set aside.
In a large, oven-proof skillet, heat olive oil over medium to medium-high heat. Season steaks with salt and pepper, to taste, then add to pan. Sear on one side, about 4-5 minutes, then flip steaks. Add tomatoes and feta to the pan, and allow steaks to sear on the other side, another 4-5 minutes. Place skillet in the preheated oven and bake, uncovered, for about 10-15 minutes, until desired doneness/internal temperature of steaks.
Top with basil butter while still warm and serve.
Recipe by Wright Family Table at https://www.wrightfamilytable.com/tomato-feta-steaks-with-basil-butter/