Microsoft does have a figurative trademark for "Office" with the rectangular icon: https://euipo.europa.eu/eSearch/#details/trademarks/01141355... - office.eu's logo does not bear any resemblance.
The only way this would be infringing is if office.eu usage could be confused with Microsoft other's trademarks - like Microsoft Office - but I don't see that.
So no, office.eu will have a calm Monday on that front, just like hundreds of other companies offering products with "Office" in their name.
(I'm not a lawyer. Talk to a lawyer before deciding to take on a trillion dollar company).
There may be hundreds of other companies selling products with the noun "office" in their names, but there only is one producing a productivity suite called simply "Office". I would expect launching another productivity suite called "Office" would be trademark infringement. Just like I can't release a car called "Beetle" or "Golf".
Microsoft Office.
I doubt Microsoft can own a name as generic as Simply "office".
Office.eu does not hold any resemblance to Microsoft Office in terms of logo, typography, makes no reference to MS, etc.
Of course they can sue. The most competent employees at MS are likely their lawyers and lobbyists anyway.
Case in point:
https://www.microsoft.com/en-us/microsoft-365/enterprise/off...
And yes. Microsoft branding and marketing is absolutely horrendous.
I mean, I think that ship has probably sailed. Borland Office showed up at about the same time as Microsoft Office, in the late 80s. Then StarOffice, Corel Office, Wordperfect Office, throughout the 90s... If Microsoft had a defensible trademark there, then this would hardly be the first target. And Microsoft barely uses the "Office" brand _itself_, these days, and hasn't for years.
(There is still a product called Microsoft Office, but the thing that most users would think of as MS Office is now, bafflingly, branded "Microsoft 365 Copilot".)