This is a solution from DaveTheWave from Italy: http://www.davethewave.it/
A simple solution to make phpMySQLAutoBackup backup a remote database (to backup the database hosted on another server).
Within the run.php file add:
$mysql_hostip = "";
And modified /files/config.inc.php file:
$cfg['servers'][$i]['host'] = $mysql_hostip;
Hope this is useful for anyone attempting to backup remote databases.