Ciao,
prova a fare qualcosa del genere:

Classe
Codice PHP:
class CurlFacebook
{
    // parametri login Facebook
    private $email;
    private $password;    
    

    private function settaCookie($email,$password)
    {
        $this->password = $password;
        $this->email = $email;
        
        $a = $this->cURL("https://login.facebook.com/login.php?login_attempt=1",true,null,"email=$this->email&pass=$this->password");
        preg_match('%Set-Cookie: ([^;]+);%',$a,$b);
        $c = $this->cURL("https://login.facebook.com/login.php?login_attempt=1",true,$b[1],"email=$this->email&pass=$this->password");
        preg_match_all('%Set-Cookie: ([^;]+);%',$c,$d);
        for($i=0;$i<count($d[0]);$i++)
        {
            $cookie.=$d[1][$i].";";
        }
        return $cookie;
    }
    public function apriUrl()
    {
        echo $this->cURL("http://www.facebook.com/",null,$this->settaCookie(),null);
    }
    private function cUrl($url, $header=NULL, $cookie=NULL, $p=NULL)
    {
        $ch = curl_init();
        curl_setopt($ch, CURLOPT_HEADER, $header);
        curl_setopt($ch, CURLOPT_NOBODY, $header);
        curl_setopt($ch, CURLOPT_URL, $url);
        curl_setopt($ch, CURLOPT_SSL_VERIFYHOST, 0); // -> https
        curl_setopt($ch, CURLOPT_COOKIE, $cookie);
        curl_setopt($ch, CURLOPT_USERAGENT, $_SERVER['HTTP_USER_AGENT']); 
        curl_setopt($ch, CURLOPT_RETURNTRANSFER, 1);
        curl_setopt($ch, CURLOPT_SSL_VERIFYPEER, 0); // -> https
        curl_setopt($ch, CURLOPT_FOLLOWLOCATION, 1);
        
        if ($p)
        {
            curl_setopt($ch, CURLOPT_CUSTOMREQUEST, "POST");
            curl_setopt($ch, CURLOPT_POST, 1);
            curl_setopt($ch, CURLOPT_POSTFIELDS, $p);
        }
        
        $result = curl_exec($ch);
        
        if ($result)
        {
            return $result;
        }
        else
        {
            return curl_error($ch);
        }
        curl_close($ch);
    }
    
    public function close()
    {
        curl_close ($this->ch);
    }
} 
Codice dove richiamo la classe
Codice PHP:
$curlFacebook = new CurlFacebook();
$curlFacebook->apriUrl("miaEmail","miaPassword"); 
... non l'ho provato, ma è giusto per dare un idea...