You can use views_edit-post
hook to do so. It is a possible variation of views_{$this->screen->id}
and resides in class-wp-list-table.php.
add_filter('views_edit-post', 'my_post_views' );
function my_post_views( $views ){
$views['html_class_name_for_li'] = 'the html'; // ex: <a href="#">something (11)</a>
return $views;
}