I've tried it but still it will open a connection to one of the 2 databases.
$db = mysql_connect("localhost", "root", "demonakos");
$db2 = mysql_connect("localhost", "root", "demonakos");
mysql_select_db("global",$db);
mysql_select_db("staff",$db2);
even this failed
$db = mysql_connect("localhost", "root", "demonakos");
mysql_select_db("global",$db);
mysql_select_db("staff",$db);