Cut steak into 4 even portions and place between 2 sheets of plastic wrap. Using a meat tenderizer, pound meat to 1/4-inch thickness.
Place eggs in a shallow mixing bowl or pie dish and place 1 cup flour in another shallow bowl. In a third shallow bowl, mix together the breadcrumbs, 1 tablespoon parsley and Parmesan cheese. Season with salt and pepper. Coat steaks with flour and shake off excess. Dip steaks in egg and into breading mixture, pressing mixture into steaks so it sticks. At this point you can cover and refrigerate steaks for up to 2 hours.
Heat about 1/3-cup of oil in a large skillet. Add steaks and cook until coating is golden brown, about 2-3 minutes per side. Drain on paper towels and reserve oil in skillet for gravy. Cover steaks to keep warm.
To make gravy, drain some of the olive oil from the saute pan, leaving about 2 tablespoons (make sure to keep the browned bits from the steaks in the pan as these add great flavor). Over medium heat, add flour and whisk into oil until flour turns golden brown, about 8 minutes. Remove from heat and whisk in red wine. Whisk in broth and cream. Return to heat and whisk until smooth and thick. Remove from heat and stir in butter and remaining parsley. Season with salt and pepper. Pour gravy over steaks before serving.