He leaves behind his partner and two-year-old daughter.
Earlier, the Fiorentina players were met by applause when they arrived on foot, led by midfielder Milan Badelj.
One banner in the crowd read "Ciao captain", another "Our captain forever". You are exactly the son and brother that anyone would want to have. "Your parents didn't put a foot wrong with you, Davide".
Astori's Fiorentina and Italy shirts were laid next to the closed coffin, along with wreaths from Fiorentina, the Italian football federation and other football clubs.
Our thoughts go to your family, to Francesca and Princess Victoria. From now, we will always have two, always. You are this for all of us; you are light.
Indeed, as the Captain was carried out of the church in his coffin with a guard of honour formed by children from the youth sector, the fans raised their scarves aloft and let off a myriad of flares as they sang their anthem in unison.
Playing just three days after the funeral will be unusual for us and for them.
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Fiorentina captain Astori died suddenly over the weekend, prompting PSG defender Alves to make what have widely been branded as insensitive comments.
Inter coach, Luciano Spalletti, was also there.
Chiellini, Claudio Marchisio, Daniele Rugani, Mattia De Sciglio, Miralem Pjanic and coach Massimiliano Allegri arriving on a charter flight from London following Juventus' victory over Tottenham Hotspur in the Champions League on Wednesday night. All teams from Serie A and Serie B, as well as the Italian national team, were represented.
Thousands of people were also gathered outside Fiorentina's stadium, where the funeral procession passed slowly on its way to the church.
And while the 31-year-old may have spent just three years as a Viola player, the scenes from Florence today show that every supporter took the Italy global to their heart. Serie A postponed all Sunday's matches. The club signed him outright one year later and he went on to become their captain.