Italian news agency Aki said Khalifa Haftar is expected to visit Rome in the few coming days.
Aki added that Haftar is going to go to Paris on Wednesday and then visit Rome afterward, citing sources close to him.
On last Tuesday, the Italian Prime Minister Giuseppe Conte said during his meeting with the Head of the Presidential Council Fayez Al-Sarraj that he was looking forward to meeting Haftar, saying "I'm confident I will be meeting Haftar face to face soon."
He said then that Italy believes that there can be no military solution to the crisis in Libya.
Italy has publicly condemned Haftar's attack on Tripoli.
Social media and media outlets reported that Haftar was invited by French President Emmanuel Macron, but the French Presidency denied such an invitation to Haftar to visit Paris.
French Foreign Minister, Jean-Yves Le Drian, told reporters on Tuesday that the French President intends to meet with Haftar to urge to commit to a ceasefire in Tripoli and resume the political process.