user23288: There were at least 22 universities according to this --
Ancient Buddhist
Universities in
India by Dr. Sandesh Wagh, Mumbai University:


In contrast to this with the rise of Buddhism in
India, there arose many center's of learning which
did not exist before.
Buddhist monks could opt for a life of meditation in
the forests, or a life of teaching, preaching,
propagating the Dhamma as a result of these
activities, seats of learning arose.
These seats of monastic learning (Pirivenas)
gradually developed and some of them became fullfledged universities.

22 Major Ancient Buddhist University

These organized institutions in the form of
Monasteries, Viharas and Universities formed the
spinal cord of the country.
Well established regular educational institutions
were founded during Buddhist period.
Gradually big shrines and hermitages began to
function as educational institutions.
With the passage of time these places assumed
the status of institutions imparting primary and
higher education.


Takshila Buddhist University
Nalanda Buddhist University
Vallabhi Buddhist University
Vikramshila Buddhist University
Teleadaka Buddhist University
Odantapuri Buddhist University
Sompura Buddhist University
Jaggadala Buddhist University
Phushpagiri Buddhist University
Nagaarjunakonda Buddhist University
Kashmir or Shardha Buddhist University
Ujjain Buddhist University
Nabadwip Buddhist University
Tawang Buddhist University
Shrangiri Buddhist University
Samye Buddhist University
PanditVihara Buddhist University
Gunshila Buddhist Women University
Kashi Buddhist University
Kanchipuram Buddhist University
Kururshetra Buddhist University
Kanheri Rock-cut Buddhist University


However were there any other universities outside India (the Indian subcontinent as we know it now), especially China, Korea, southeast Asia?
There were lot of Scholars who travelled to and from India, do any of their travelogues mention any of these universities?

user11278: There are folklore regarding a massive University like establishment in Anuradhapura, Sri Lanka which was later burned down by the invading armies.
In Sri Lanka the Buddhist education was centralized around establishments named Pirivena. The Sunethradevi Pirivena is believed to be more than 600 years old.

23288: <p>There were at least 22 universities according to this --
<a href="https://mu.ac.in/wp-content/uploads/2014/05/2016-Ancient-Buddhist-University-in-India-compressed.pdf" rel="nofollow noreferrer">Ancient Buddhist
Universities in
India</a> by Dr. Sandesh Wagh, Mumbai University:</p>
<blockquote>
<ul>
<li>In contrast to this with the rise of Buddhism in
India, there arose many center's of learning which
did not exist before.</li>
<li>Buddhist monks could opt for a life of meditation in
the forests, or a life of teaching, preaching,
propagating the Dhamma as a result of these
activities, seats of learning arose.</li>
<li>These seats of monastic learning (Pirivenas)
gradually developed and some of them became fullfledged universities.</li>
</ul>
<p>22 Major Ancient Buddhist University</p>
<ul>
<li>These organized institutions in the form of
Monasteries, Viharas and Universities formed the
spinal cord of the country.</li>
<li>Well established regular educational institutions
were founded during Buddhist period.</li>
<li>Gradually big shrines and hermitages began to
function as educational institutions.</li>
<li>With the passage of time these places assumed
the status of institutions imparting primary and
higher education.</li>
</ul>
<ol>
<li>Takshila Buddhist University</li>
<li>Nalanda Buddhist University</li>
<li>Vallabhi Buddhist University</li>
<li>Vikramshila Buddhist University</li>
<li>Teleadaka Buddhist University</li>
<li>Odantapuri Buddhist University</li>
<li>Sompura Buddhist University</li>
<li>Jaggadala Buddhist University</li>
<li>Phushpagiri Buddhist University</li>
<li>Nagaarjunakonda Buddhist University</li>
<li>Kashmir or Shardha Buddhist University</li>
<li>Ujjain Buddhist University</li>
<li>Nabadwip Buddhist University</li>
<li>Tawang Buddhist University</li>
<li>Shrangiri Buddhist University</li>
<li>Samye Buddhist University</li>
<li>PanditVihara Buddhist University</li>
<li>Gunshila Buddhist Women University</li>
<li>Kashi Buddhist University</li>
<li>Kanchipuram Buddhist University</li>
<li>Kururshetra Buddhist University</li>
<li>Kanheri Rock-cut Buddhist University</li>
</ol>
</blockquote>
<p>However were there any other universities outside India (the Indian subcontinent as we know it now), especially China, Korea, southeast Asia?</p>
<p>There were lot of Scholars who travelled to and from India, do any of their travelogues mention any of these universities?</p>
 11278: <p>There are folklore regarding a massive University like establishment in <a href="https://en.wikipedia.org/wiki/Anuradhapura_Maha_Viharaya" rel="nofollow noreferrer">Anuradhapura</a>, Sri Lanka which was later burned down by the invading armies.</p>
<p>In Sri Lanka the Buddhist education was centralized around establishments named <a href="https://en.wikipedia.org/wiki/Pirivena" rel="nofollow noreferrer">Pirivena</a>. The <a href="http://buddhistplacesinsrilanka.weebly.com/sunetradevi-pirivena.html" rel="nofollow noreferrer">Sunethradevi Pirivena</a> is believed to be more than 600 years old.</p>
