The institution experienced a special momentum in the 18th century, when a large boarding school, called Convictus Nobilium, was built next to the church and university, where students were received regardless of their ethnic origin.

Since 1698 until 1786 the Academy evolved into Universitas Claudiopolitana (see the cover of the book from 1742 by Andreas Matis entitled Peregrinus Catholicus de peregrina unitaria religione), and later even having the four classical faculties: Philosophy (since 1581), as a prerequisite for Theology (since 1581, reorganized in 1712/1767), Law (1774), and Medicine (since 1775/1776).

For funding the University of Kolozsvár was granted the income of the Monastery of Kolozsmonostor (today Mănăștur, Romania), with six villages.

[5] In 1603, in the context of occupying the city by Moses Székely, the Jesuits were expelled, their goods devastated, and in the 1606 the university closed.

Following 1773, after the suppression of the Society of Jesus, Empress Maria-Theresa further developed Universitas Claudiopolitana (with teaching both in Latin and German).

Indeed, during its maximum development, Universitas Claudiopolitana had the four classical faculties: Philosophy (since 1581), as a prerequisite for Theology (since 1581, re-organized in 1712/1767), Law (1774), and Medicine (since 1775/1776).