Emanuel,
It's been a while, but I wanted to respond to this thread. We've been doing some testing with JFBConnect for our upcoming 4.2 release and can't recreate the issue you mention here. Each time we enter non-Latin characters, they work properly.
Can you check your database collation? I'd assume it accepts non-latin characters since your article contents and other things are likely using those, but it's the best thought we have as to why it's not working for you.
Tools like PHPMySQL can tell you the collation pretty easily, but if you're using the command line MySQL query command, you can enter the following commands to figure out what your database is using:
use <YOUR_DATABASE>;
show variables like "character_set_database";
show variables like "collation_database";
I believe the recommendation for Joomla is "UTF-8", whereas the MySQL default is "latin1_swedish_ci".
Please let us know how that goes for you. The other alternative that crossed our minds was if you have a 'security' extension of some sort installed. Since UTF-8 characters get translated into character codes, that could make some security software consider the use of them in database update statements to be 'risky' and break them.
Good luck,
Alex