The talks, which took place at Quirinal Presidential Palace, were broadened to the delegations representing the two countries.
The president was given a warm official welcome from his Italian counterpart, Sergio Mattarella, following Italian customs.
After listening to the anthems of the two countries, the two presidents saluted a detachment of the Italian Republican Guard that honored them.
President Tebboune also greeted the Italian officials who attended the ceremony and took a souvenir photo with his Italian counterpart.
The head of state arrived Wednesday in Rome for a three-day state visit to Italy, at the invitation of President Mattarella.
On the first day of the visit, the head of state met with representatives of the national community in Italy and listened to their concerns and proposals.