The so-called ‘next Zlatan Ibrahimovic’ has been a subject of intense interest since Autumn – linked with Arsenal, Manchester United and Liverpool amongst others.
Berisha admitted to having an offer from the Black Cats in late November – though talks are still ongoing and a deal is yet to be concluded.
And on Thursday the 17-year-old confirmed a duo of clubs are in the final stages of brokering a deal for his services.
"One club is from England and one is from Italy." he revealed to Fotbollskanalen.se.
"I am negotiating with both right now, but I have not decided which of them it will be.
"I will probably do that in a week's time. I am really keen to play now and want it to be sealed soon."
Sky Sport Italia correspondent Gianluca Di Marzio has contended that Roma are in the lead for Berisha over Sunderland – even as the Swede has remained democratic on his choice.
Berisha’s contract with current employers Halmstads expires at the end of this term, so – according to Di Marzio - would be subject to either a free transfer or a minimal fee of up to €330,000.
Responses to the duelling bids for the striker will reportedly be made by Thursday evening.
Roma have already snapped up other young talents this January in the form of Leandro Paredes and Antonio Sanabria – the latter having previously been tipped to join Arsenal.