We have found one software suitable in our database for this conversion.
Both .sesx and .ses files are sessions from Adobe Audition, with the difference that .ses files were discontinued in version 5.5 and replaced by the XML based .sesx files. It might not be possible to save into the older files in modern versions of Adobe Audition, so the only way would be in obtaining version older than 5.5 and use exchange format to recreate the session in the legacy format.
Updated: August 15, 2023
SESX
Files with sesx extension are audio sessions saved in Adobe Audition. These files are basically audio projects used to edit audio data. When the project is finished, the appropriate audio resources are saved in one of the common audio formats, like MP3.
SES
Files with ses extension usually contain metadata about audio session edits, saved using Adobe Audition an audio editing software.