Former president Florentino Perez is ready to assume control in the club elections and the president-elect is keen to bring Gerrard and Alonso to Spain.
Zinedine Zidane, who is in line to become Real’s sporting director under Perez, has hailed Gerrard as the best player in the world.
But it is believed Liverpool will resist any moves for the England midfielder, according to News of the World.