The 29-year-old and her 21-year-old sister Annabelle were pulled unconscious from the wreckage of the crash, which occurred on the coast of New South Wales.
Lars and Vivian died instantly, and Annabelle passed away in hospital three days later.
Jessica's parents and sister were buried yesterday - January 11 - with their funeral taking place at St Mary's Catholic Church at Concord in Sydney's west.
Channel 7 is reporting this morning that Falkholt still remains in a critical condition at St George Hospital today.
The 29-year-old actress was involved in a Boxing Day crash while traveling with her parents and sister.
"All four have now died after Jessica's life support was switched off. RIP to Jess and her family".
Jessica graduated from National Institute of Dramatic Arts and then landed her role on Home and Away. Jessica has reportedly undergone several surgeries, including the removal of a kidney and part of her skull, and has been in a coma.
Craig Whitall, who died at the scene, was recognised as a habitual driving offender with over 60 offences to his name.
Paul Ponticello, Vivian's brother, gave a eulogy at the funeral. They are together and always will be.
Family members of Vivian's family flew from Italy for the service, while a service was also held for Lars in his homeland of Sweden.
"The ones who love us never really leave us, you can always find them in here (the heart)", Ms Macchetta told the service.
Jessica Falkholt is best known for playing Hope Morrison on the long-running Australian soap, Home and Away.
It was reported that a vehicle driving on the wrong side of the road caused the collision, hitting the Falkholt family head on as they made their way home to Sydney following a short festive break.