The 30-year-old Italian played one match for Liverpool during a loan spell on Merseyside in 2007.
The report comes after Villa’s prospective move for Kalinic broke down last week over work permit issues after the club had agreed a £4.9 million deal with Hajduk for the two-time capped Croatia international's signature.
In the meantime, summer signing Mark Bunn has taken over the No. 1 job in recent weeks due to Brad Guzan’s on-going struggles, but despite conceding just one goal in his three league starts, the former Norwich City man has been relatively untested so far – having only needed to make a combined total of five saves.
The likes of the Birmingham Mail have claimed that manager Remi Garde is still determined to find a new keeper after admitting defeat in his attempt to sign Kalinic, and it now looks as if he has turned his attention to Padelli.
The 30-year-old Italian, who had a six-month loan spell at Liverpool in 2007, has played 95 times for the Serie A side since being signed on a free transfer from Udinese in 2013 and received his first senior international call-up in August 2014 following a breakout 2013-14 season.
However, he lost his starting place to Salvador Ichazo earlier this month after committing a series of goal-gifting blunders over the first half of the campaign and hit the headlines last term when he conceded a Peter Enckelman-esque own goal in a 1-0 home defeat to Empoli.
His signature would likely not break the bank, but when Villa have already had problems with one error-prone keeper this season, his recent plight serves as serious cause for concern.