How to obtain ssl client profile from a virtual server?

LocalLB.VirtualServer.get_profile is the one you are looking for. It will list all profiles assigned to that virtual.

PHP sample code - Example

$wsdlVS="https://$hostname/iControl/iControlPortal.cgi?WSDL=LocalLB.VirtualServer";
    $client = new SoapClient($wsdlVS,array('location'=>$location,'login'=>$username,'password'=>$password));
    $virtual_list=$client->get_list();
    $virtual_profile=$client->get_profile($virtual_list);
    // raw result table display
    print_r($virtual_profil);

LocalLB.VirtualServer.get_profile works... In case of SSL profile, following will be the type : PROFILE_TYPE_CLIENT_SSL