There is no native tools for Symfony, but there is "native" PHP tools in Intl library.
For example
$transliterator = \Transliterator::create('Any-Latin');
$transliteratorToASCII = \Transliterator::create('Latin-ASCII');
$transliterateTitle = $transliteratorToASCII->transliterate($transliterator->transliterate($title));
In first place we transliterate Russian to Latin, then we transliterate it to ASCII.
If you don't like this method, you just can take something like in this example http://htmlweb.ru/php/example/translit.php. Just create class with such method end register it as service.