The 21-year-old is being linked with teams that include Tottenham and Manchester City.
Vlahovic is excelling in Serie A, managing four goals and one assist so far this season.
According to Le 10 Sport, PSG are assessing whether a big money move for the Serbian international is feasible.
The Serbian may be seen as a replacement for Kylian Mbappe, who does not appear inclined to sign a new contract.
Mbappe's present deal runs out at the end of this season, and he is being strongly linked to Real Madrid.
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