Transfer expert Fabrizio Romano is reporting the 28-year-old centre-back is open to a move to Europe, even though he recently signed a new contract with Fla to 2028.
Wolves, Atalanta and Newcastle United are interested in the defender.
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Bruno made his debut for in Brazil's 1-0 victory over England on the weekend, playing the full 90 minutes.
Fla are willing to sell for 12-15m this summer.