Italian club Torino have requested Manchester City for a one-year extension of Joe Hart's loan deal.
Sky Sports says Torino have been impressed with Hart's performances in Serie A and are keen on keeping him in Turin for another season.
However, the 29-year-old is reportedly unlikely to stay in Italy next season as he is understood to prefer a return to the Premier League.
Hart was signed by Torino on a season-long loan in August after being told by Manchester City manager Pep Guardiola that he was free to leave.
City are reported to be mindful of the fact that Hart only has two years left on his contract and are keen to offload him on a permanent basis in the summer.
Liverpool, Everton and Leicester City have been linked with moves for the England goalkeeper, while several clubs across Europe are also reported to be monitoring his situation.
Hart said in an interview last month that he is unlikely to return to City when his loan spell with Torino ends in the summer.
The 29-year-old told the BBC that he remains "surplus to requirements" at the Etihad Stadium and that he does not see himself playing for his parent club again.
He added that he would "love" to play in the Premier League again next season but that his priority was finding a club where he felt wanted.
"I love the Premier League, I absolutely love Premier League games. Removing myself a footballer, I watch the Premier League. It's a great league, fantastic football is played in it," Hart said.
"I know it really well but I wouldn't say it was top of my wish list. Top of my wish list is to play for a club that wants me to be their goalkeeper."
Torino are 10th in the Serie A table, 16 points behind fourth-placed Lazio.