The only way how to export Edraw projects (*.eddx) is to use EDraw itself, because it allows users to export its diagrams as Visio drawings (*.vsdx). No other program supports EDDX format so it is likely the only way.
Convert Edraw project to Microsoft Visio drawing.
We have found one software suitable in our database for this conversion.
Microsoft Windows software - convert eddx to vsdx on Windows
A versatile diagramming program
Convert from eddx file format
The table with program actions contains information about what each program is capable of doing with their files. This may be a good pointer for further searches for certain file conversions and help you find the converter you are looking for if our search result is insufficient for you. However, it is far from perfect and may sometimes show results which are not really usable because of the nature of the software handles the files. So a conversion that appears as possible, just because of matched actions, may in fact not be possible.