Laporte performed below present Barca boss Ernesto Valverde for 4 years till he swapped the San Mames Stadium for the Nou Camp.
The defender has racked up over 150 appearances for Bilbao and gained the league cup in 2015.
But the 2 La Liga heavyweights, Barca and Madrid, are prepared to bolster their respective back-lines.
It is recommended that Barcelona have nonetheless but to plug the void left by way of Carles Puyol, who hung his boots up in 2014.
However, they do have Gerard Pique, Samuel Umtiti, Thomas Vermaelen and Javier Mascherano, even if there were whispers that the latter two may go away the membership in the foreseeable long term.
Real in the meantime, are nonetheless taking a look to substitute Pepe who joined Besiktas in the summer time.
Spanish newsletter Mundo Deportivo are reporting that Laporte can be put above Nacho and Jesus Vallejo in the Bernabeu pecking order if he joined.
But he would nonetheless be most effective offering quilt for Sergio Ramos and Raphael Varane.
Laporte has a €65million (£58m) liberate clause in his contract, which might turn out to be a stumbling block.
The France global’s contract runs till 2020 and the discharge clause shall be raised to €75m (£67m) subsequent summer time.
If he used to be to leave Bilbao then he would go away as the costliest defender in international soccer.