Globo Esporte says three Premier League rivals are chasing the Brazil international ahead of Monday's transfer deadline.
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After Tottenham expressed interest, Everton and Aston Villa have also made contact.
And West Ham are prepared to consider Paqueta's sale from a starting price of £50m.
For his part, Paqueta is staying open-minded and ready to leave West Ham should the right offer arrive before the deadline falls.