Wash and slice mushrooms. Melt butter in small frying pan over medium heat, saute mushrooms until soft. Reduce heat to low, continue cooking till butter is almost gone, then add wine. Let simmer till you're ready to use them.
Trim meat, making two round circles. Wrap each circle with 2 overlapping bacon slices and fasten with toothpicks, if necessary. Season each with salt and pepper, both sides.
Lower broiler rack to 4" below broiler, (unless you like your steaks rare*), cook steaks to your preference, turning once, making sure the bacon is browned. (*if you like your steaks pretty rare, no need to lower the broiler rack, basically you just wanna cook the bacon and sear the tops.)
When steaks are done, plate and cover with the sauteed mushrooms.