Spanish outlet Diario Gol (h/t TalkSport) reported Real chief Perez is eager to get his hands on goalscorer Kane and could be willing to part ways with some of his biggest stars in order to recruit the Englishman.
The suggestions is Perez will move Karim Benzema on with Bale's situation also precarious.
He has picked up where he left off this time round, finding the net 15 times in just 13 appearances for club and country.
Such a remarkable scoring run has rekindled speculation linking Kane with a lucrative move to Real Madrid, with Marca recently reporting that both the forward and teammate Dele Alli feature on a shortlist of prospective new "Galacticos".
Real Madrid are reportedly growing exhausted of Gareth Bale's injury woes - and are considering selling him for a price "close to" the £86million he cost in 2013.
The inclusion of Benzema in the player-plus-cash trade is supposed to take Kane's fee down as far as €40 million, to which Modric can be added should Tottenham continue to drive a hard bargain.
"You hope he's Tottenham through and through", Anderton told Press Association Sport.
It is understood that Real Madrid would consider parting ways with Bale, who has won three Champions Leagues in four seasons with the club, if they can recoup the £86m they paid Spurs to sign him over four years ago. "The way he plays and the way he acts, it certainly looks like he's happy where he is and hopefully he doesn't forget that".
"But the club have got to go with him on that". Only people at Madrid will know about this but the demands at the Bernabeu are very, very high.