The Italian government has said six stadiums can open with fans in attendance.
Stringent security measures were introduced following the death of a policeman in riots outside Catania's ground last Friday.
All games were suspended last weekend and only stadiums which comply with the new safety regulations can now go ahead as normal.
The Interior Ministry said in a statement that the stadiums that could open were the Stadio Olimpico in Rome, Palermo's Stadio Renzo Barbera, Siena's Stadio Artemio Franchi, Sampdoria's Stadio Luigi Ferraris (also shared by Genoa), Cagliari's Stadio San Elia and the recently refurbished Stadio Olimpico Grande Torino in Turin.
At every other venue games must be played behind closed doors until security is improved.
"Many stadiums need weeks perhaps even months of work," said sports minister Giovanna Melandri.
"After the first wave of emotional reactions, we'll see. I think eradicating violence from stadiums is in everybody's interest, even for clubs.
"My hope is that in a reasonable amount of time we will able to say we are not only world champions but we have deeply, profoundly changed the system of the football scene in this country.
"Many things have happened already, many internal regulations and rules have changed - sports justice, the code for judges and agents, plus we are in the midst of changing regulations for TV rights. Now we are facing the challenge of violence.
"At the end of this process, we will be able to say we have also won this match and given our country a more credible, transparent football that has driven violence away."