Former Celtic midfielder Donati will reportedly train with Martin Canning's side this week.
Donati (right) celebrates winning the League Cup with Celtic
The former Bhoys midfielder, who is looking for a new club after leaving Bari this summer, went on to profess his love for the Scottish champions, revealing a Celtic tattoo on his chest and admitting to missing Glasgow.
Hamilton boss Canning is set to run the rule over Donati
Hamilton, who are based 10 miles south east of Parkhead, are currently on tour in Spain and have reportedly invited the Italian along.
Donati may have turned 35 earlier this year, but he made 16 appearances in Serie B last season and is said to have offers from around Europe.
Donati in action against Lazio in Serie A
However, his love of Scotland, where he spent just over two years between 2007 and 2009, could see Hamilton win out - provided he impressed.
The former AC Milan midfielder played 55 times for Celtic in total and appeared in both legs of their Champions League last-16 defeat to Barcelona in 2008.
Donati was signed by AC Milan as a 20-year-old