The La Liga giants are set to splash the cash this summer as Zidane looks to bolster his team across all areas of the pitch.
And according to Spanish publication Don Balon, Perez and Zidane have discussed the players they want to bring to the Bernabeu.
Seven players are said to be priority signings with three of them from the Premier League.
Zinedine Zidane is keen to spend big on summer targets Real Madrid transfer odds: Which Premier League aces could move? Thu, March 30, 2017
Click to reveal the best transfer odds for superstars moving to Real Madrid, courtesy of 888sport
Play slideshow GETTY 1 of 11
The latest transfer odds for Real Madrid's summer deals, courtesy of 888sport
The latter came close to joining Real in the summer of 2015, while Zidane is a long-term admirer of Hazard.
Reports in Spain suggest Gareth Bale has put forward Alli’s name to Perez in an attempt try and make a deal happen.
Eden Hazard is attracting strong interest from Real Madrid Real Madrid wages revealed: Which stars earn most? Fri, March 24, 2017
Click to reveal every Real Madrid player's weekly wages, according to Totalsportek.com
Play slideshow GETTY 1 of 25
Click to reveal every Real Madrid player's weekly wages
Get Quotes on Home Insurance
The other names from across Europe attracting attention from Real include Borussia Dortmund striker Pierre-Emerick Aubameyang and Monaco’s Kylian Mbappe.
Real also have designs on Juventus pair Paulo Dybala and Leonardo Bonucci, the report claims.
It remains an ambitious task for Real to land all seven targets but Zidane’s side are confident they will be able to persuade some of them into making a move to the Spanish capital.