Disqus Comments (for Joomla) has just been updated to v3.7.0.
This new release improves compatibility with the latest Joomla 3.8.x releases & implements the new Disqus embedding snippets.
Disqus Comments (for Joomla) is fully compatible with Joomla versions 1.5 to 3.x & for PHP versions from 5.5 to 7.2 (less than 5.5 was not tested).
Simply install on top of any other 3.x release. The update will also appear in the Joomla extension updater (for Joomla v2.5 or newer).