The Serie A club announced Astori's death on Sunday, just hours before it was due to face Udinese.
The 31 year-old defender was found in his hotel room in Udine after he failed to report for breakfast with his team-mates.
Fiorentina's game at Udinese and the entire Monday (AEDT) calendar in Italy's top flight were later postponed as tributes flowed for the popular Italy international.
Clubs across Europe will now also pay their respects, including Serie A sides Juventus, AC Milan and Lazio.
Juve travels to Tottenham for the second leg of a Champions League last-16 tie, which is all square at 2-2, while Milan and Lazio face Arsenal and Dynamo Kiev respectively at the same stage of the Europa League.
Astori's funnel will be held on Friday (AEDT) at Florence's Basilica di Santa Croce.