Identify Same Visitor Across Domain Without 3rd Party Cookies

Our requirement is to track a particular user journey who visits different domains. Referring

"In some cases, it might be interesting to enable third party cookies, so that a same visitor will get the same ID across all your domains and subdomains. Matomo (Piwik) doesn’t report cross sites visits at this stage, so you will benefit from using third party cookies only if you run manual queries against Matomo database. To enable 3rd party cookies, edit your config/config.ini.php and add the following lines:

use_third_party_id_cookie = 1

The issue with this approach is that, we have found by default Firefox and MS Edge disables third party cookie which means we do not have this id (i.e. _pk_uid) hence the visitorid is not same. This is an issue for us. Is there an alternative way to identify the same visitorid across domains without using 3rd party cookies?