The EU has ASML, NXP, Infineon, maybe STM (not sure) and a ton of little shops, but all of them are far away from the major players. And they are moderately confortable in their niches. This is a very high risk endeavour, even with EU money.
And as far as I know, none of them manufacture for other end-user players, so even if there was a new fabless company with a cool project, it's likely that wouldn't be made in the EU bu by Samsumg or TSMC.