Based on the definition of the following term in your ST, which refers to foreign universities, but it's hard to say whether "grado de apertura al exterior de los docentes e investigadores" refers to foreign universities or just other universities, so "external collaboration" should cover any ambiguity.

First instance:
Assess the extent to which the university's teachers and researchers interact with their peers in other academic insitutions.

Second instance:
Assess the [dynamic] interaction of the University itself with universities the world over.

The second sentence above represents a pared down translation that eliminates the redundancy of the original.

Suerte.

This may fit depending on your wider context.

[PDF]
The X-Files - Wash U Law Repository
digitalcommons.law.wustl.edu/.../viewcontent.cgi... - Traducir esta página
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de R Peerenboom - 2003 - Citado por 21 - Artículos relacionados
The situation improved in the 1980s as China began to open up to the outside world. ... foreign scholars and to limit their ability to do research, especially in the ... Philosophy, University of Hawaii; M.A., Chinese Religions, University of Hawaii ; B.A., Philosophy, ... collaborative research projects with our Chinese colleagues

[PDF]
Full report - Iraqi Prospect Organisation
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Formato de archivo: PDF/Adobe Acrobat - Vista rápida
... Iraqi universities to once again open up to the outside world. ... Collaborative projects involving foreign universities providing training and exchange programs ...

Popular Beijing Universities for International Students: Part Two
english.visitbeijing.com.cn/.../n214768832_1.sht... - Traducir esta página
13/11/2012 – BIT is a national key university, an open, international and research-oriented ... It has established collaborative ties with over 40 local government and ... Since the reform and opening up to the outside world, there have been ...

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Improving the effectiveness of higher education ... - unesdoc - Unesco
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of economic reform and opening up to the outside world, aimed at speeding ...... through inter-university collaboration at national and international levels, as ...

etc.

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Note added at 3 hrs (2013-02-16 21:09:30 GMT)
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If we are talking about a country like China, Iraq or any other subject in the past to restrictive or oppressive regimes I think this would be correct. ONly you have the context to assess this.

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Note added at 3 hrs (2013-02-16 21:10:47 GMT)
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although the word exterior does strongly suggest a foreign or international element - as in Ministerio de Asuntos Exteriores.

the degree to which the university's faculty is/are open to collaborating with institutions outside of the country

los docentes e investigadores de la universidad = the university's faculty