The appeal hopes of the American 23-year-old rest partly on having the evidence re-examined independently.
After a hearing lasting most of the day, the decision went in her favour, giving her family some hope that the guilty verdict may yet be overturned.
Knox's mother, Edda Mellas, who was in the Perugia court room for the hearing, said: 'There's hope.'
Knox, 23, was jailed last year for the brutal killing of student Meredith Kercher, 21, who was found semi naked with her throat slashed in the house they shared.
She was given 26 years while her former boyfriend Raffaele Sollecito, 25, who was also convicted along with her was given 25 years - both claim they are innocent and are appealing.
Today judge Claudio Pratillo Hellman heard final submissions by prosecutors and lawyers representing Meredith’s family, before he and the jury retired to consider its decision.
Defence teams for American Knox and Sollecito, from Giovinazzo near Bari, argued last week that DNA evidence presented at the first trial was flawed and should not have been admitted.
The evidence to be reviewed includes disputed DNA traces found on a knife allegedly used as the murder weapon and on the clasp of Miss Kercher's bra.
Genetic material, not blood, was found on the handle from Knox and on the blade from Meredith but the results are so low they should not be considered, her lawyers had argued.
A bra clasp belonging to Meredith on which DNA from Sollecito was found but was ‘lost’ for six weeks before being discovered again by forensic scientists will also be reviewed.
Defence teams also want two serving prisoners to be admitted as witnesses after they contacted lawyers to say they had vital evidence which would show Knox and Sollecito are innocent.
Prosecutors told the hearing they opposed the request for an independent review but said they had no objection to new witnesses being admitted to the trial.
These are mobster Luciano Aviello who claims his brother Antonio is the real killer and who gave him the murder weapon and a set of keys to the house to hide - neither of which have yet to be found by the police.
The other is child killer Mario Alessi who says that while serving in the same prison as Rudy Guede, who has already been convicted of Meredith's murder, he told him Knox and Sollecito are innocent.
Ms Comodi said: 'Logic says there were no errors,' adding: 'The DNA of Sollecito was found on the bra - he did not live at the house and as a result he would not have entered that room.'
Francesco Maresca, representing the Kercher family, said:''The arguments presented by the defence have all been played out in Oggi magazine (glossy Italian weekly) and we run the risk of never ending justice. If we accept this arguments then any trial could be blocked.'
The judge and jury have now decided to consider its decision.
Last week Knox made a passionate and tearful plea to the court insisting she and Sollecito were innocent and that ‘justice was not being served’ by keeping them in prison and that an ‘enormous mistake’ had been made.
Ms Mellas, who is in Italy for Christmas, said:’Amanda is doing OK considering the circumstances.
'She really wanted to speak last week and it was very moving. It was something that she had wanted to do for a long time.
‘She had been building up her strength to do it and she did well and hopefully the judge and jury will see that she meant every word of what she said. Speaking is not her strength but writing is.’
Lawyers battled through heavy snow which has hit central Italy to make the trial in Perugia which started an hour late to allow for the treacherous travel conditions.
Meredith, from Coulsdon, Surrey, was in Perugia as part of her Leeds University degree and had only been in Italy for two months before she was found murdered in November 2007.