You can use movement of nouns and possessives to eliminate all but one of the occurrences of 'of the' from this: "among the rights of the undergrads of the University of the Basque Country")...

Among The University of the Basque Country students' rights

I am supposing the following: the proper full name, in English, of the university is exactly this: "The University of the Basque Country" I do not know enough Basque to tell if Euskal Herriko Unibertsitatea would need a definite article, but it seems to me that Universidad del País Vasco does not have one. In any case, English educational institutions are often referred to without any article:

Among Oxford University students' rights

If I am correct in this, then the following natural, and not at all awkward construction is possible:

Among University of the Basque Country students' rights