In the recent 64-bit version of MapInfo, from a Layout window I no longer have the option to Save Image as a .EMF or .WMF vector graphic formats.
Solution
You are still able to export a EMF/WMF from a Map window.
For layout window, you can try using Create PDF option instead. Then firstly check if your 3rd party package can import PDF files directly, and if not use a free online convertor tool to convert from PDF to EMF formats, such as these ones -