ApiV2ComplexFilter.php

<?php

ini_set('display_errors', 1);

$client = new SoapClient('http://MAGENTO_URL/index.php/api/v2_soap/?wsdl');

$session = $client->login('USERNAME', 'PASSWORD');

$complexFilter = array(
    'complex_filter' => array(
        array(
            'key' => 'entity_id',
            'value' => array(
                'key' => 'gteq',
                'value' => 1
            )
        ),
        array(
            'key' => 'product_id',
            'value' => array(
                'key' => 'lteq',
                'value' => 3
            )
        )
    )
);

$result = $client->catalogProductList($session, $complexFilter);

var_dump($result);