Swofford said Tuesday that Tranghese called and wrote a letter to say he was sorry for the way he acted before Miami and Virginia Tech bolted from the Big East to the ACC.
Swofford refused to say what the two talked about or what the letter contained.
A message seeking comment was left on Tranghese's voice mail.
"When you go through something like this, people have differences of opinion and express them in certain ways," Swofford said. "It's disappointing. But we've worked together for a long time on various things, and we will again.
"As far as I'm concerned, it's over with."
Swofford said he promised to call Tranghese when the ACC presidents approved expansion. He said he followed through on that telephone call.
"I have a lot of respect for Mike, and you move on," Swofford said. "You moveon."
Last month, Tranghese said the ACC "blind-sided" his league by grabbing its top two football schools, painting the rival conference as corporate raiders.
"I think those of us that are involved have had enough of it," Tranghese said June 30. "I think the public is disgusted with us all, to be honest with you."
Swofford said Tuesday at the ACC Football Kickoff that he has no regrets about what transpired during expansion.
"Ten years from now, we'll look back and say it would have beena real mistake not to have taken Miami and Virginia Tech," Swofford said.
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