Karim Benzema, Isco, Marco Asensio, Marcelo, Dani Carvajal and Raphael Varane are all set to extend their stays with the La Liga and Champions League holders.
The situation at Real, with a settled squad being secured, stands in stark contrast to their rivals Barcelona, who have been left in chaos after Neymar’s departure.
Benzema’s current contract ends in 2019, however, according to Marca, this will be extended for a further two years.
Isco meanwhile is set for a bumper deal after impressing in the latter stages of last campaign, including starting the victory in the Champions League final against Juventus.
He will reportedly be offered a deal until 2021, with a £650 million release clause inserted to avoid a similar situation to Neymar, who left Barcelona after PSG activated his £198 million release.
Asensio, the 21-year-old midfielder, only agreed an extension last year but could be offered a new deal until 2023.
Carvajal, Varane and Marcelo meanwhile will be tied down until 2022 – by which time Marcelo, the Brazilian left back, will be 34.
Some of Real’s biggest names, including Cristiano Ronaldo, Gareth Bale, Toni Kroos and Luka Modric, extended their contracts last season.
Manager Zinedine Zidane has also confirmed his commitment to the Bernabeu, signing an extension until 2020.