Rubuta ci gaba don wannan sakin layi - Bayan rushewar Society of Jesus a 1773, jami'ar ta karɓi umarnin koyarwar Piarist, wanda ke da alhakin inganta ingantaccen ilimi: an kafa Faculty of Law a 1774, tare da Faculty of Medicine mai zuwa a 1775. Ma'aikatun da yawa sun hada da waɗannan fannoni. Sarki Joseph II ya saukar da jami'ar zuwa "Kwalejin Kwalejin Kwalejin" a 1784, wanda ya hana ci gabanta. Duk da haka, makarantar ta zama kwaleji mafi girma a Transylvania. An rufe Faculty of Theology a cikin 1786, kuma sauran fannoni suna ba da ilimi mai yawa, gami da tattalin arziki da kimiyya. Bayan Juyin Juya Halin Jama'a da Yakin 'Yanci na 1848<unk>1849
, an rufe Faculty of Arts da Faculty of Law, tare da na biyun da ke aiki a matsayin jami'a mai zaman kanta da ke farawa 1863.