Fulham will host Brentford in a Premier League fixture at Craven Cottage on Saturday evening.
Palace are are also yet to win a game this campaign but getting their first points on Monday night might prove to be a difficult task for them.
Wolverhampton Wanderers will host Fulham in a Premier League fixture at Molineux stadium on Saturday.
After missing out on the league crown by a narrow margin, Liverpool suffered another heartbreak in the Champions League final by losing to Real Madrid.
Fulham will host Villarreal in their final pre-season friendly of the summer at Craven Cottage on Sunday.
Estoril Praia will host Fulham in a pre-season friendly at Antonio Coimbra da Mota on Sunday afternoon.
Benfica will play Fulham in a pre-season friendly at Estadio Algarve on Sunday.
Nice and Fulham will be taking on each other in a pre-season encounter on Saturday at the Estadio Algarve.
Liverpool are set to complete the signing of Fabio Carvalho from Fulham for GBP 5 million plus add-ons in the Summer.
Bayern Munich sporting director Hasan Salihamidzic has said he is looking forward to working with "innovative" head coach Julian Nagelsmann.