All Tennis Players How Many Grand Slams Has Guillermo Vilas Won? Guillermo Vilas (born 17 August 1952) is an Argentine former professional tennis player.Guillermo Vilas has won 4 Grand Slams. FacebookTwitterEmail How Many Grand Slams Has Madison Keys Won? How Many Grand Slams Has Jannik Sinner Won? How Many Majors Has John Isner Won?