"The Egyptian investigation team has submitted accounts and documents containing new elements," Attorney General Nabil Sadek of Egypt and his Italian counterpart Giuseppe Pignatone said in a joint statement.
They said the new elements covered "progress achieved by the company tasked with recovering recordings from metro stations in Cairo", without elaborating.
In January, Egypt authorized Italy to send experts to examine footage from surveillance cameras at a Cairo metro station to shed light on Regeni's final public movements before his disappearance.
READ ALSO: Anger mounts in Italy over student's torturous death in Cairo
Regeni, a PhD student, went missing in the Egyptian capital on January 25th, 2015. His body was found days later, bearing torture marks.
Egypt has faced accusations that a member of its security services murdered the student, who was researching trade unions -- a sensitive topic in the country. Cairo has denied those claims.
Rights groups accuse the Egyptian government of arbitrary arrests and enforced disappearances of dissidents, which spiked after the military overthrew Islamist president Mohamed Morsi in 2013 and cracked down on his supporters. The government denies such allegations.