Bremer has already turned down one approach from Galatasaray, but the operation remains alive, with the 29-year-old reportedly yet to close the door on a move to Turkey. Juventus, meanwhile, are said to be already lining up potential alternatives should his departure materialise, with Jean-Clair Todibo and Fikayo Tomori identified as the leading candidates to strengthen the defence.
Todibo's availability has been boosted by circumstances at his current club, West Ham United, who were relegated to the Championship this year and have been active in cashing in on their higher-profile players as a result.
The Hammers are set to bank close to £200million in combined income from the sales of Crysencio Summerville and Mateus Fernandes alone, and Todibo could be next to leave should Juventus firm up their interest, with a move potentially easier to negotiate given the club's changed circumstances outside the Premier League.
Tomori, at AC Milan, represents the other option, having established himself as a regular at San Siro and holding a good relationship with new Juventus sporting director Frederic Massara, who brought him to Italy during his time at the club.
Should Bremer's move to Galatasaray go through, it would mark a significant departure for Juventus, who have relied heavily on the Brazilian since his arrival from Torino, and would leave the club needing to move quickly to secure a replacement before the new Serie A season gets under way.
Juventus have made clear they do not consider Bremer a player they are actively looking to sell, but his profile fits into the category of important squad members the club could let go if a sufficiently large offer arrives, reflecting the financial reality facing the club after missing out on Champions League football.
The situation is expected to become clearer over the coming weeks, with reports in Italy suggesting Bremer's release clause carries a deadline in mid-August, giving Juventus a window to determine whether this remains a speculative approach from Istanbul or develops into a sale the club feel they cannot turn down.