@NHB123 USC’s reputation is nationwide in the US, but you’re right that it might be better known in Asia (which is where I presently live) than Europe - I can’t say for sure.
However, the Times (UK) ranks the top 100 universities by reputation. USC is in the 60s. ND does not appear on the list. So at least according to the Times, USC is more well known abroad.
You’ll find student comments on ND’s social life here: http://www.studentsreview.com/specific_detail.php3?uid=487&f=Social&d_short=UND&d_school=University%20of%20Notre%20Dame
and here: https://colleges.niche.com/university-of-notre-dame/
(Niche is not useful for overall rankings but is useful for comments/ratings on specific aspects like party life, food, etc.)
Where to find the US News rankings, reposted http://m.university-list.net/us/rank/univ-0001.htm#zy
ND is #16 and USC is #25, but that difference is small enough to be irrelevant in terms of reputation.
According to Bloomberg, ND has the #1 undergraduate biz school in the country (Mendoza) but that’s specifically the B-school. http://www.bloomberg.com/news/photo-essays/2014-04-03/best-undergraduate-business-schools-2014
On the other hand, US News put USC a few spots higher than ND for undergraduate finance.
Rankings are always subjective, so use them as ballpark indicators. In other words, USC == ND, in the US at least.
If it were me, looking to work in investment banking in the US, I would pick ND - amazing alumni network and business connections.
But if you’re going back to Europe, then maybe USC (arguably a nicer place to spend 4 years).
Either way you’ll get a great education.