Trinity College Dublin is offering a partial refund to students in college accommodation who return home.
The university is encouraging all students, whether Irish or international, to go home, if it is possible to do so.
Students have been advised that anyone who decides to vacate their accommodation permanently for the remainder of the term should write to the Accommodation Office, to let them know.
“A pro rata refund will be provided at the end of the academic year” the college has told them.
It comes after Leo Varadkar said the country's schools, colleges and childcare facilities are to close in response to the Covid-19 pandemic.
Speaking in Washington, Mr Varadkar said all indoor gatherings of more than 100 people and outdoor events involving more than 500 should be cancelled.
Home working is encouraged and socialising should be limited.
"Where possible teaching will be done online or remotely. Cultural institutions will close as well," the Taoiseach said.
"Our advice is that all indoor mass gatherings more than 100 people, and outdoor mass gatherings, more than 500 people should be cancelled.
"Arrangements are to be made to ensure that everyone entering Ireland thorough our ports and airports is fully informed and self-isolates if they develop symptoms."
Prior to the university closing, two Trinity College students tested positive for coronavirus.
The second student confirmed yesterday to have Covid-19 was based outside the main campus and is now being treated in hospital.
Trinity was advised of the case this evening and has sent a message to staff and students.
The HSE has begun the process of tracing anybody who has been in contact with the male student, who did not live in university accommodation.
The college said it would continue to take all actions necessary to contain the spread of the virus.
The university said it would keep other possible measures under review. The present policy of delivering lectures online from Monday will continue and all students and staff should follow the guidelines around social distancing and good hygiene.
“Our goal should be to decrease the number of instances that lead to students, staff, and visitors coming together in large groups in close proximity with each other.
An Garda Síochána has announced training is being postponed so that over 300 Garda students, and gardaí working as tutors, can join the acting force now in an effort to limit the effect of Coronavirus.