With the Brazil international's deal running to 2027, talks over a new agreement have continued to stumble along.
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Calzada, when discussing the just closed January market, was asked about the prospect of signing Vinicius Junior.
He said: "In our case there are no conversations, but the CEO of the Saudi league, every time he is asked, says that if he is available, he will try to bring him."
The Saudi Pro League (SPL) have held talks with Vini Jr's camp over the past two years, with one contract offer reaching €1bn over four years.
In terms of a fee, the SPL were prepared to pay €350m in 2023 for Vinicius Jr, though the player at the time didn't feel ready to make the move.