Summer research opportunities for undergraduates
Are there any opportunities at your European school?  During the year or during summer?  Funded or unfunded?

You really don't need to do groundbreaking research as an undergrad.  Just doing something (some exposure) is plenty.  Your grades and scores are much more critical.  FWIW, I didn't have any research as I was working and playing a sport. Schools were fine with that.

When you get to grad school, there will be plenty of time to dive deep into research and to distinguish yourself by how well you do at it.