According to the iPaper, Tottenham has been exploring the 23-year-old since the beginning of the year and consider him a potential replacement for Cristian Romero.
Romero is strongly connected to a move this summer, but the importance of Atletico Madrid is reportedly cooled due to the asking price of Spurs.
Thomas Frank's side will be confronted with serious competition for the winter, with West Ham and Bournemouth interested in addition to Inter Milan.
De Winter came to Genoa permanently last summer, after he had spent the previous season on loan from Juventus, where he came through the youth ranks.