The judges believe that the testimony of a shop owner who allegedly saw Knox buying detergents hours after Kercher's death must be taken into consideration and not dismissed as the appellate court judges did, according to ANSA. The shop keeper did not come forward with his information until weeks after the murder.
They also suggested the Appeals Court was wrong to dismiss the testimony of a key witness as unreliable simply because he was a homeless person who frequented a public square. The man claimed he saw Knox and Sollecito with Guede near the park the night of the murder, which took place the day after Halloween.
In the appeals trial, he said he was sure he saw the three of them together because he remembered the presence of the buses which took students to clubs on Halloween.
The judges also wanted to clarify how many people were at the scene of the crime the night Kercher died and the precise time of her death, according to ANSA.
Knox's lawyer, Carlo Dalla Vedova, told ABC News in April that he expects a new trial to begin in the next year. The trial is at the appellate level again and will take place in Florence, Italy.
In April, Knox told ABC News' Diane Sawyer that the Supreme Court's decision to order a third trial was "incredibly painful."
"I felt like after crawling through a field of barbed wire and finally reaching what I thought was the end, it just turned out that it was the horizon," Knox said. "And I had another field of barbed wire that I had ahead of me to crawl through."
Knox does not have to return to Italy for the trial, and extradition is not currently on the table.
If she is convicted again, that ruling would most likely be appealed up to the Italian Supreme Court.
Only if the Supreme Court upholds the guilty verdict could extradition even begin.