I can't offer any help, but I thought I might bump this up the forum by adding our problem.
We want to update records in a MySQL database behind an ExpressionEngine CMS, from FM data maintained via FM9 and FM10. We are working on Macs.
We can put "fancy" characters (typesetting quote marks, en rules, accented characters) into the EE front end and they appear to be store in the MySQL database in UTF-8 encoding. We can put "fancy" characters into FM fields, of course. When we transfer text from an FM field to a MySQL field, the fancy characters go wrong. I haven't yet devoted time to establishing what exactly FM is writing, but it clearly is not UTF-8.
I can't find any help on this in the FM documents or online resources. Do we need to look at the configuration of the ODBC driver?
I had the same problem. If you use the plugin 360Works Scriptmaster try to uncheck it, then restart FileMaker.