The 25-year-old has been linked with a move away from Italy after impressing in his 33 Serie A appearances last season, resulting in the centre-back winning Serie A best defender of the season.
Despite extending his contract in February until 2024, Bremer is expected to leave Torino this summer, with Inter Milan leading the race for his signature.
However, Tuttosport are reporting that a move to Inter is far from being a foregone conclusion, with Torino's director of sport Davide Vagnati allegedly holding talks with Chelsea and Tottenham over the potential move.
Tottenham recently made contact with Bremer, while Chelsea are in the market for defenders following the departure of Antonio Rudiger and Andreas Christensen.
Bremer has reportedly agreed personal terms with Inter, but the Coppa Italia winners are not keen on paying Torino's €40m (£34.6m) asking price, which could open the door for Chelsea or Spurs.
The former Atletico Mineiro player has made over 100 appearances for Torino, chipping in with 13 goals for the club.