Responding to the BBC’s statement, Abbington said that coming forward “was not an easy thing to do”.
“In the days, weeks and months since I contacted the BBC, I’ve been accused of being a liar, a troublemaker and of being ‘mad and unstable’.
“I’ve also received rape and murder threats and a bomb threat was sent to my place of work. My family and children have also been subjected to threats and intimidation.
“Despite this vile abuse, I’ve never regretted coming forward, and today’s apology from the BBC is a vindication of my complaint.
“It’s not just a vindication for me, it’s a vindication for the other people who have contacted me since I made my complaint to express concerns about their own experiences on Strictly Come Dancing. I hope those who have felt unable to speak out now will be more confident that they will be listened to and believed.”
Abbington added that the BBC had invited her to meet with senior management and that she would be considering this.
“This apology means a great deal to me. So too does the fact that the BBC have acknowledged the steps that were put in place to support and protect me and past contestants were “not enough”.
“What matters most now is that lessons have been learned and that the BBC makes the changes they’ve promised, to ensure others don’t experience the same ordeal that I and others like me did.”
In a statement, Pernice said: ‘I’m glad the review has finally come to an end. I’m relieved that the allegations that I was threatening and abusive were found not to be true.
“The majority of the false allegations have been thrown out by the review. It has been an extremely difficult year, reading story after story and not being able to say anything in return as I respected the integrity of the review, which the BBC asked everyone to do.”
He added that he loved his time on Strictly and made “amazing memories”.
“I’m grateful to all those who have supported me at this time – I really don’t know how I would have got through this with out the love and belief of my family, friends, colleagues and fans.”
The BBC announced a string of new measures in July, include introducing chaperones in all rehearsal rooms, as well as including two new welfare producers on the show.
Earlier this year, the BBC confirmed that Pernice would not return to the Strictly professional line-up for the new series.
The new series of Strictly Come Dancing launched on BBC One earlier this month.
Pernice has now joined his native Italy’s talent dance show, Ballando con le Stelle.