Browsers prevent standard AJAX calls across domains for security reasons, but you can make JSONP calls instead. If you’re using jQuery you just need to add ‘callback=?’ to the url:
$.getJSON('http://some-foreign-server.net/ajax-handler.php?param1=foo&param2=bar&callback=?', function(data) { // do stuff } );
Then setup the request handler to prepend the callback parameter to the response and wrap it in quotes:
echo $_REQUEST['callback'] .'('. json_encode($results) .')';
If you’re using Firebug to monitor the call, it won’t show up on the Console tab anymore. Instead it will be in the Net tab.