Three sexual assaults have been reported on Notre Dame's campus in the first week of classes.
Whatever the courts decide, the ruling will impact private universities throughout the state that have police forces.
The rejection comes after the Supreme Court ordered the 7th Circuit Court of Appeals to reconsider its first ruling denying Notre Dame's protest.
The University of Notre Dame plans to offer a variety of programs and courses as part of a new partnership with Kylemore Abbey beginning in 2016.
The 7th U.S. Circuit Court of Appeals is being asked to reconsider its decision, which ruled in favor of the Obama administration's contraception requirement.
Hesburgh, who served as the Notre Dame president from 1952 to 1987, died Thursday in South Bend at age 97.
The conference aims to explore how Catholic teachings can be more inclusive of the LGBT community.
The U.S. Supreme Court is allowing Hobby Lobby and for-profit companies to object for religious reasons to the Obama administration's contraceptives mandate.
An appeals court in Chicago ruled against Notre Dame regarding the Affordable Care Act's requirement to provide contraception to employees and students.
Judge Jon DeGuilio says the diocese and its non-profit affiliates do not have to provide contraceptive coverage to employees.