Both the STL and SAT CAD formats are pretty common, so it should be not that hard to find a CAD software that can convert one to another. Used mainly for 3D printing purposes.
Convert Stereolithography CAD file to 3D ACIS model file.
We found 6 software records in the database related to .stl to .sat file format conversion.
Microsoft Windows software - convert stl to sat on Windows
A 2D and 3D CAD construction software
Convert from stl file format
The tables with software actions are a good pointer for what a certain program does with various file types and often may give users a good hint how to perform certain file conversion, for example the above-mentioned stl to sat. However, it is not perfect and sometimes can show results which are not really usable because of how certain programs work with files and the possible conversion is thus actually not possible at all.
A set of 3D modeling tools
A converter for 3D formats
A dedicated CAD converter
A 2D, 3D modeling tool
A CAD conversion software