Paris St-Germain's owners Qatar Sports Investment (QSI) are exploring the possibility of buying a minority stake in a Premier League club.
Manchester United's owners the Glazer family have said they are looking for new investment and would also consider selling the club.
Liverpool's owners have said they "would consider new shareholders".
However, no specific clubs are being targeted at this stage by QSI, who also have a minority stake in Portuguese side Braga.
And despite the meeting with Levy, it is being stressed that there was no discussion about QSI taking an equity stake in Tottenham.