remote_drupal_file.php

<?php
global $user;

// Create a file object.
$file = new stdClass();
$file->fid = NULL;
$file->uri = 'https://www.allplayers.local/g/low_level_group_2b/sites/default/files/imagecache/profile_normal/sites/all/modules/apci_features/apci_defaults/group-icon.png';
$url_parts = parse_url($file->uri);
$file->filename = basename($url_parts['path']);
$file->filemime = file_get_mimetype($file->uri);
$file->uid      = $user->uid;
$file->status   = FILE_STATUS_PERMANENT;

// file_save() calls filesize()... jerk!
$ret = file_save($file);