Rome's Mayor Virginia Raggi has invited the Liverpool counterpart Joe Anderson to a meeting, following the attack on Liverpool fan Sean Cox ahead of second leg of Liverpool-Roma semifinal in the Italian capital.
The Irish supporter remains in a critical condition after an alleged assault by two Italian fans on Tuesday night, who have been remanded in custody ahead of a trial next month.
Virginia Raggi said she had a "long and cordial" telephone conversation with her Liverpool counterpart Joe Anderson who she invited to visit the Italian capital.
Mohamed Salah led Liverpool to a dominant 5-2 victory over Roma in the first leg of the semifinals Tuesday.
The Egyptian international was sensational against his former team, registering two goals and two assists, becoming the first player to do so in a Champions League semifinal.
AFP adds
Liverpool manager Jurgen Klopp told Liverpool fans going to Rome next week to avoid violence and not to seek revenge for the assault that left one of their own in a critical condition.
Sean Cox, a 53-year-old Irishman and father of three, is in a Liverpool hospital after suffering a serious head injury following an attack by Roma fans ahead of last Tuesday´s Champions League semi-final first leg.
Two Italian men have been remanded in custody facing charges over the incident.
Liverpool won the game 5-2. The return is next Wednesday in Rome.
Liverpool held talks with Roma, UEFA and the Italian police on Friday seeking reassurance over security.
At his press conference on Friday, Klopp wore a small pin of the club´s Liverbird emblem in the green, white and orange of the Irish tricolour, as a sign of respect for Cox.
The Liverpool boss said his advice to fans going to Wednesday´s second leg in Rome was to stay out of trouble.
"What can I say? Behave? It´s easy to say!" said Klopp.
"Behave! It´s common sense. You want to be safe. I never saw (trouble from fans) since I have been here.
"I really don´t like that part of football. I don´t get it.
"It should not be like this. It´s a wonderful game and if we want away supporters at stadiums we have to show our responsibility."