SignLab software supports export to several other file formats, including AI format from Adobe Illustrator. Only SignLab software can open and work with the *.cdl vector graphics and thus is probably your only choice for CDL to AI conversion.
Convert SignLab vector graphics to Adobe Illustrator graphics file.
We found one software available in the database for this conversion.
Microsoft Windows software - convert cdl to ai on Windows
A professional software for signmakers
Convert from cdl 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.