Serie A has been suspended since 9 March because of the global pandemic.
“As soon as the conditions are right, we’ll finish the championship,” said federation president Gabriele Gravina.
“Soon, there will be a meeting. We will establish the procedure which we will then communicate.
“We will start, I hope, at the beginning of May with tests to ensure that players are negative and training can follow.
“Will we play through the summer? We don’t have a deadline but the idea is to finish the championships.”
Italy has been one of the countries hardest hit by the coronavirus crisis, and players at a number of clubs have been infected.
Juventus lead the Italian top flight, one point ahead of Lazio and nine clear of third-placed Inter Milan.
Brescia president Massimo Cellino, whose side are bottom of the table, has said he is ready to forfeit the club’s remaining games if the season resumes.
Last week, German teams became the first from Europe’s top leagues to return to training, with precautions in place.
