$cookie_file_path = "cookie.txt";  
    $fp = fopen($cookie_file_path);    
    fclose($fp);
    $agent = "Mozilla/5.0 (Windows; U; Windows NT 5.0; en-US; rv:1.7.12) Gecko/20050915 Firefox/1.0.7";
    $reffer = "http://www.facebook.com/login.php";
    $kullaniciadin = "buraya";
    $sifren        = "oda buraya";
        $ch = curl_init();
        curl_setopt($ch, CURLOPT_URL,"https://login.facebook.com/login.php");    
        curl_setopt($ch, CURLOPT_USERAGENT, $agent);
        curl_setopt($ch, CURLOPT_COOKIEFILE, $cookie_file_path);
        curl_setopt($ch, CURLOPT_COOKIEJAR, $cookie_file_path);
        curl_setopt($ch, CURLOPT_REFERER, "http://www.facebook.com/login.php");
        curl_setopt($ch, CURLOPT_RETURNTRANSFER, 1);
        curl_setopt($ch, CURLOPT_FOLLOWLOCATION, 1);
        curl_setopt($ch, CURLOPT_HEADER, 1);
        curl_setopt($ch, CURLOPT_SSL_VERIFYPEER, 0);
        curl_setopt($ch, CURLOPT_SSL_VERIFYHOST, 0);
        curl_setopt($ch, CURLOPT_POSTFIELDS, "charset_test=%E2%82%AC%2C%C2%B4%2C%E2%82%AC%2C%C2%B4%2C%E6%B0%B4%2C%D0%94%2C%D0%84&version=1.0&return_session=0&charset_test=%E2%82%AC%2C%C2%B4%2C%E2%82%AC%2C%C2%B4%2C%E6%B0%B4%2C%D0%94%2C%D0%84&email=".$kullaniciadin."&pass=".$sifren."");
          $html = curl_exec($ch);
          echo $html;

cookie.txt Oluşturmayı Unutma
$kullaniciadin = "buraya";
$sifren = "oda buraya";

Bide Bunlar.
Açıklama : Sürekli bağlı kalmak istiyorsun giriş sağlandıktan sonra ajax yardımı ile yada frame yardımı ile sayfanın belli bir alanında facebookun ufak bir sayfasını dakkada bir yenilet.

Kolay Gelsin.