The troubled Italian airline, which is set to be nationalised, plans to resume flights between Rome and New York as well as certain flights to Spain, including from Rome to Madrid and Barcelona, from June 2, according to Italian news agency ANSA.
It will also resume some domestic flights, including routes between Milan and southern airports just in time for the summer holidays.
The decision came after the Italian government announced unrestricted travel to and from EU countries, with no quarantine requirement, would be allowed from June 3.
It is not yet known when unrestricted travel from the US will be allowed, however.
The carrier said in June flights would rise by 36 per cent compared with May, with 30 different routes connecting 25 Italian and foreign airports.
Flights will be offered according to demand, which is already starting to recover as countries begin easing travel restrictions and warnings.
Alitalia continued to operate some routes throughout Italy’s nationwide lockdown, including flights between Rome and London as well as other European routes, which were used mainly by passengers being repatriated.
On all of its flights it is filling only half of the seats to provide physical distance between passengers.
Earlier this month the Italian government announced plans to inject at least €3 billion into the loss-making carrier which is being nationalised following financial problems.