regularly mysql db web update ?

Hi, I came to one very specific problem... we are paying for domain and web space on server with MySQL and PHP. For administering MySQL database we can use PHP scripts only (no telnet nor SSH). We have intercompany MySQL database on our Intranet that is connected to Internet through Proxi/Firewall. This allows only Internet browsing (port 80). And now comes my problem... How we can regularly update MySQL database on our web server from our intercompany DB , lets say every hour? What we do now, someone must make dump file from our database and than use PHPMyAdmin on our web site to upload data into MySql database on our web site. This is very uncomfortable (worst than that on our slow connection to internet). Please help. Thanks Vojtech