Regeni, a 28-year-old PhD student, was killed in Cairo in January 2016. Despite months of cooperation between Egyptian and Italian prosecutors, nobody has been arrested or charged over the killing.
"Minister (Enzo) Moavero expressed Italy's need to see concrete investigative developments," said the foreign ministry statement. It added that there was "strong disquiet" in Rome over the way the case was being handled.
The statement said the Egyptian ambassador had assured Moavero that Cairo's determination to "shed light on the case cannot be questioned". The envoy added that investigators in Egypt were committed to pursuing their inquiry "despite the difficulties encountered", the ministry said.
Frustrated by the lack of progress, Italy will next week place under official investigation at least two members of Egypt's security forces over their alleged involvement in the disappearance of Regeni, judicial sources said on Thursday.
In a largely symbolic move, the president of Italy's lower house of parliament has said he will suspend ties with Egypt's parliament until there is progress in Cairo towards resolving the case.
In response, Egypt's parliament said on Friday it regretted what it called the Italian chamber's hasty decision to anticipate the results of the investigation.
"The house of representatives affirms that the Egyptian state has a firm interest in disclosing the circumstances of the killing of Mr Regeni, since the incident happened on its territory," said a statement carried by state news agency MENA.
Egyptian officials have repeatedly denied any involvement in Regeni's death. The general prosecutor's office in Cairo said it had no comment to make beyond a statement it issued on Wednesday following the meeting between the two teams of investigators.
That statement said the two sides had agreed "investigations are going well" and that they would "do everything in their power to find the perpetrators".
Being placed under official investigation in Italy does not imply guilt and does not automatically lead to a trial. The two security forces members will be investigated for allegedly kidnapping Regeni.
No one is being placed under investigation at this point for torturing or killing Regeni, the sources said. (Reporting by Crispian Balmer and Omar Fahmy; Editing by Steve Scherer and David Stamp)
(This story has not been edited by Devdiscourse staff and is auto-generated from a syndicated feed.)