A WLMP file can be opened as an xml. Save a copy of the project changing the extension to XML.
Convert XML to CSV using one of various free converters available online. Open the CSV file as a spreadsheet (Excel, Calc, etc). Now you can access the filenames and durations of each edit.
You must reformat your spreadsheet to match an EDL format supported by your NLE. Once you have the correct format, export spreadsheet (sometimes you must convert to CSV, open in notepad and save again with the desired extension).
This is an example of the cuts once converted to csv / spreadsheet format: