The former Tottenham star is seen as an ideal addition to a youthful Bayern Munich midfield and the German champions-elect are ready to offer in the region of £27m to land the 32-year-old.
Whether Zidane would consider that to be a reasonable offer for the Croatian remains to be seen, with Modric still first choice in Los Blancos’ starting XI. He also remains under contract at the club until 2020 following a £30m move from Tottenham back in 2012.
However, Zidane may try and use him as part of a mega-bid for Poland striker Robert Lewandowski, who has long been linked with a move to the Spanish capital.
Stoke could face a battle to keep Xherdan Shaqiri as reports have claimed Mark Hughes wants him at Southampton next season.
Bayern Munich have entered the race to Emre Can, who continues to talk up a move away from Liverpool this summer.