A valve assembly includes a valve body having a seat-retainer chamber with a floating seat ring disposed adjacent an inner sidewall of the seat-retainer chamber. The floating seat ring is configured to contact a first portion of a plug head at a single annular location prior to a second portion of the plug head contacting a valve primary seat during a closing stroke of the plug head. A static seal is located radially between the floating seat ring and the inner sidewall of the seat-retainer chamber.