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Rhys, Quinn and Will, aged between 20 and 23, appeared on Good Morning Britain about their ordeal.
They told Piers Morgan and Susanna Reid that they had embarked on a trip to Florence to teach English at a summer school.
They don't have symptoms anymore and Dr Hilary Jones - the show's resident GP - said they shouldn't still be contagious.
But the three lads still aren't allowed to leave the facility.
Will told them: "Today we are having our sixth test, so fingers crossed that will hopefully finally be negative.
"In terms of our hourly routine, we just chill in here, I do jobs and wait for the meals, sometimes work out but that's literally it.
"We were working on summer camps teaching English, we had a week off work, the end of which the guys had symptoms.
"We went and got tested to make sure we weren't spreading it to anyone, and we all tested positive."
Their symptoms included a dry cough, fever and lost of taste and smell.
They must test negative for Covid twice before they're allowed to leave.
Quinn explained: "It is frustrating because there is no timeline or time scale for when we can leave.
"The worry is how long this can continue for.
"The thought of us being here for three months is petrifying, to spend any longer in this prison and this eternal hell, as we call it."
Quinn continued: "Mental health is a problem.
"Five weeks of not being able to talk and have a proper conversation with people.
"I am 20, the others are 22 and 23, we are used to being in social situations - working, at university - so being totally deprived of all that is tasking on our mental health."
They aren't the only ones being kept there. Explaining on the morning TV show, they said that a man who is in the room below them has been trapped over two months.
Dr Hilary said that patients can test positive for the virus although they're no longer infectious.
He explained that remnants of the virus in the body can give a false positive.
The men aren't being tested for antibodies either - despite asking for one, they have been told that it's less accurate.
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