The Chelsea forward is rumoured to be available this summer, and Tottenham are eager to bring in attacking reinforcements.
Tottenham were one of the clubs closely linked to Remy before he moved to England, according to reports in Goal a couple of years ago, with the French international starring at Marseille before making a surprise move to QPR in January 2013.
Remy was unable to keep the Hoops up that season, but then flourished in a loan spell at Newcastle the next season, scoring 14 goals in 26 games in the league, including the winner in a frustrating 1-0 loss Spurs suffered.
Again, last summer, when Remy was preparing to to leave Loftus Road, Tottenham were linked with the 28-year-old by the Independent, and there is no reason why those at White Hart Lane shouldn't be considering him again this summer, with ESPN claiming Crystal Palace are interested.
What would be the advantages of plumping for Remy?
Of course there are benefits and risks with taking Remy over youngster Martial. Both are forwards that can play as a central striker and on the wings, and they also use their pace well against opponents.
But whereas Martial's reported price tag of over £18 million, according to Metro, reflects his youth and the player he could become, Remy is a much more established goalscorer, not to menition somewhat seasoned Premier League player. There are also mixed reports as to just how available 19-year-old Martial is, meaning that that price could only go up.
At his age, Remy might expect to be more involved than Martial, but he would also probably cost less and be capable of contributing as soon as he arrives.
One thing Spurs cannot afford to do once more is spend a lot of money on an unproven Premier League striker that then struggles in England.