The Italian outfit sit just one point above the relegation zone and, according to La Gazzetta Dello Sport, are hopeful of bringing the 18-year-old back to his homeland, where he can score the goals to steer them away from the drop.
Macheda has made just five first-team appearances all season for the Red Devils, with Wayne Rooney, Dimitar Berbatov, Michael Owen and even new recruit Mame Biram Diouf currently ahead of him in the pecking order.
And, as a result, he is believed to be in favour of a temporary move away from Old Trafford in order to secure regular action and ensure he features in Sir Alex Ferguson's future plans.
"Bologna have asked for him but we have to evaluate things with Manchester United," Macheda's agent, Giovanni Bia, told Tuttomercatoweb.
"I have a telephone appointment with them, but it will be difficult for them to let him go.
"If they will do it, it would be on loan."
Macheda joined the Red Devils in 2007 from Lazio and burst onto the Premier League scene last season after scoring in each of his first two league appearances off the bench – including the injury-time winner against Aston Villa.
He signed a new four-year contract in December keeping him at the club until June 2014.
‘Maybe I’ll be signed by Wrexham, who knows? English football would suit me – if an offer came, I wouldn’t think twice, I’d go immediately’ Euro 2024 cult hero reveals his UK dream
‘Managing Leeds? It was an option that appeared, but it wasn’t the right timing. I decided it wasn’t a good idea to leave the club I was at mid-season’: Premier League boss admits to turning down opportunity to replace Jesse Marsch in 2023
