However, the Ligue 1 club face a battle prising the former PSG coach away.
The 34-year-old is on a contract as long as his father Carlo's, until the summer of 2026.
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The Athletic says Reims are showing interest in Davide Ancelotti for the role of head coach. Will Still left his post at Reims last month and a replacement has yet to be found.
The Italian is among candidates that Reims are considering, but Real Madrid have no intention of letting him go.
The Spanish giants consider Davide Ancelotti a valuable member of the coaching staff. However, Reims plan to open discussions with Real Madrid after the Champions League final and test the waters.