Parker was forced to step aside due to health reasons (the actress is recovering from a bout of pneumonia).
An eight-hour take on the 2011 Australian series, The Slap is about how one man’s punishment of another couple’s child explodes into a complex family drama.
The Oscar-nominated Thurman takes over the role of Anouk, a TV writer who is dating her show’s young leading man (Gossip Girl‘s Penn Badgley).
The cast also includes Peter Sarsgaard, Zachary Quinto, Thandie Newton and Melissa George.
Jon Robin Baitz (Brothers & Sisters) will pen the project; Baitz also will executive-produce with director Lisa Chodolenko (Olive Kitteridge), Crossbones‘ Walter Parkes and Laurie MacDonald.