It is very likely it will renew the controls reintroduction, since those have been reintroduced since 2015 :

Foreseeable cases (Article 25 and 26 of the codified SBC)

For foreseeable events (e.g. sports events), the duration of the border control is limited to 30 days or for the foreseeable duration of the threat, if it exceeds 30 days.

Even is nothing is announced, is there any precedent for similar events within the Schengen zone that make it a possibility?

Except for the above, the European Football cup 2016, which was held in France, had no other specific measures