Magento Provides Web Services API Features systems communicate magento store.
for magento webservices please visit the official site links

• Web Services Information
  
• Magento Core API

While the methods fetch product outside magento.
After Carefully Inspecting the Magento API code finally the Product list filters applied.
So I will share the Solution.

//Sample Code For Soap Client
$client = SoapClient(‘http://example.com/api/?wsdl’);
// login

try {
$session = $client->login(‘your_api_username’, ‘your_api_key’);
$filters = array(
array(‘sku’ => array(‘like’=>’test%’),’name’=>array(‘eq’=>’Test’))
);

$message=$client->call($session,’catalog.product.list’,$filters);
print_r($message);
}
catch(Exception $fault)
{
echo $fault->getMessage();
}

// Sample Code For XMLRPC client

$client = Zend_XMLRPC_Client(‘http://example.com/api/xmlrpc’);
$session = $client->call(‘login’, array(‘your_api_username’, ‘your_api_key’));
$filters = array(
array(‘sku’ => array(‘like’=>’test%’),’name’=>array(‘eq’=>’Test’))
);

try {
$message = $client->call(‘call’, array($session, ‘catalog_product.list’, $filters));
print_r($message);
} catch (Exception $fault) {
echo $fault->getMessage();
}

Requirement :- Magento 1.4