Broja is available after spending last season on-loan with Fulham.
L'quipe says Monaco are showing interest in Broja.
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However, ASM which finished second in Ligue 1 this season also have more offensive options on their wish list.
Broja has previously also been linked with a move to Borussia Dortmund. The 22-year-old has a contract with Chelsea that runs until the summer of 2028.