Victim 2 has said he was the boy then-graduate assistant Mike McQueary testified he saw being attacked by Jerry Sandusky in a team shower in 2001. McQueary notified Paterno and school officials at the time, but police were never called, an omission that eventually led to Paterno's firing.
Sandusky was convicted in June 2010 of 45 counts, found guilty of raping or fondling boys he had met through the acclaimed youth charity he founded, The Second Mile.
Casey did not disclose the terms of the settlements but said they took shape some time ago and were completed a week ago.
"To say they're relieved, I think, is a fair statement," Casey said. "But it's also accurate to say that while we've closed this chapter, there's a whole lot of this that's necessarily inadequate. And that can't be helped, because of how ... really unspeakable this experience has been and continues to be for them."
The university has not announced the deals.
The men known in court documents as Victims 3, 7 and 10 released statements through the lawyers, saying that although they are relieved the settlement process is over, they won't get their childhoods back.
"Penn State is not great for settling something that could have been stopped years ago," Victim 3 said. "What makes a school great is stopping these things no matter what negative effect it has on their reputation or what bad press it might bring."
Victim 7 said he regretted knowing Sandusky.
"Despite the settlements, my life will never feel 'back to normal.' If I had the power to go back in time and not ever meet Jerry Sandusky, I wouldn't hesitate," he said.
Victim 10 said the settlement would help make amends but couldn't change what had happened to him.
"It's not about the money. It's about holding people accountable for the things that they have done," he said.
Nearly a week ago, a lawyer disclosed the first settlement among the 31 lawsuits filed against the school amid the Sandusky scandal. Earlier this week, a lawyer brought in by Penn State to facilitate negotiations said he expected 24 more cases to settle in the near future.
A Penn State spokesman said Friday only that settlement talks continued to progress. He declined to comment further.
The school has spent nearly $50 million on the Sandusky scandal, not including any payments to the victims and accusers.
Other lawyers involved in settlement talks said Friday they were still working with the university but none had a signed, final agreement.
Sandusky, 69, is serving a decades-long prison sentence. He maintains his innocence, and an appeals hearing is scheduled for next month.