The Valencia defender has been heavily linked with a move away from the Mestalla this summer, with suggestions that he could be on his way to the Premier League.
New Manchester City boss Manuel Pellegrini has been credited with an interest in bringing the 27-year-old to the Etihad Stadium, as he continues his search for reinforcements for his newly-inherited squad.
However, the Chilean coach will face competition for Rami's services, with a host of top European clubs also monitoring the France international's situation.
Napoli and Paris Saint-Germain have both been mooted as admirers of the player, and now last season's Champions League finalists Borussia Dortmund have been added to Rami's growing list of suitors.
Jurgen Klopp is keen to recruit the £15million-rated centre-back, and is ready to launch a rival bid in the hope of beating Manchester City, PSG and Napoli to Rami's signature.
With two years still to run on his contract at Valencia, there is every chance that Rami could remain in La Liga, though he has openly admitted that he's ready for a new challenge away from Spain, after two years with the club.