She conceived the idea of Erasmus upon her return to Rome, as the university did not recognize the master's degree she had obtained abroad and asked her to complete the regular course of studies.
In 1969, she prepared the following memorandum, which contained the first idea of the Erasmus project: "The student, even if not belonging to a family resident abroad, can ask to carry out part of his study plan at foreign universities, presenting it to the Faculty Council for approval in advance.
[6] The Faculty Council can declare the equivalence, which will become effective after the student has produced documentation of the studies completed abroad" This memorandum was promoted to the Italian Minister of Education by Alessandro Faedo, President of the Permanent Conference of Rectors of Italian Universities.
[7][8] In 1969, the minister of public education, Mario Ferrari Aggradi, adopted Corradi's memorandum as the basis for the bill 612/1969 for the reform of the Italian university, defined in the report to the Senate as follows: "With these provisions, Italy places itself in a position of great European and international openness, thus providing an example for future university legislation in other countries".
[11] She taught Lifelong learning at the Faculty of Educational Sciences of the Roma Tre University from 1980 to 2004.