The 28-year-old held the No.10 shirt during his seven-year stint at Stamford Bridge, but that number is currently donned by Modric.
And the Croatian made has made it clear to Hazard he has no intention of parting company with the No.10 shirt.
"I've talked to Modric through Kovacic,” Hazard said on Thursday.
“I jokingly asked him if he could leave me No.10, he said no, I have to find another number.”
Eden Hazard has revealed Luka Modric has told him to forget about being Real Madrid's No.10 (Image: GETTY)
Eden Hazard was Chelsea's No.10 for seven years (Image: GETTY)
I jokingly asked him if he could leave me No.10, he said no, I have to find another number.
Eden Hazard on Luka Modric being Real Madrid's No.10
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Although it seems he won't end up with his favourite number, Hazard insists it’s not a big issue.
He said: “For me the number is not important, but to play with this shirt, with this badge."
Hazard will also face stiff competition to be Real’s main penalty taker as the job is currently entrusted to Los Blancos skipper Sergio Ramos.
The former Chelsea man isn’t bothered, though, saying: "When one plays for Real Madrid there is only one star, the team is the star.
Luka Modric is currently Real Madrid's No.10 (Image: GETTY)
Eden Hazard officially joined Real Madrid on Thursday (Image: GETTY)
"I arrive as a new player. At Chelsea I had been playing for seven years, here I came as the new player and I will try to contribute in everything possible.
"Regarding the penalties, I think the captain of the club shoots them very well.
“If they ask me to take them away - I do not think he's going to ask me, I think he'll keep scoring."
Hazard’s first outing as a Real Madrid player could come against next month against Bayern Munich in the International Champions Cup in the USA.