So, as much as I like the built in solution, my pattern is to use a Derived Column to inject the file name into the Data Flow. I have a variable called CurrentFileName in all my packages. That contains the design-time path for my Flat File Connection Manager (or Excel). My Connection Manager will then have the ConnectionString/ExcelFilePath property assigned to be @[User::CurrentFileName]. This positions me for success because all I need to do is ensure that whatever mechanism I am using to determine my source file correctly populates that variable. In this post, a ForEach File Enumerator will handle that.
Within my Data Flow Task, I will add a Derived Column Transformation that adds my package variable into the data flow as a new column. Here, I am specifying it will be of data type DT_STR with a length of 130.
He follows up with some Biml to drive home the point.