Folha de Sao Paulo claims that Manchester City, Bayern Munich, Atletico Madrid and Shakhtar Donetsk are all interested in signing the 18-year-old.
Shakhtar had a bid rejected earlier this year but are still hopeful of completing a deal and are considering an improved bid.
However, any side hoping to secure Lucas’ signature will have to cough up €80 million, with Sao Paulo slapping on a price tag that is higher than that of either Neymar or Ganso.