The 37-year-old has been a free agent since his contract with Juventus expired at the end of last season and has courted interest from clubs all across the globe.
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"I am optimistic. He still hasn't signed, but he wants to," Pignata told Sky Sport Italia.
"Between tonight and tomorrow we will settle the final details, it is a work in progress.
"Offers from England? Liverpool is a great club, but Australia is a big country."
According to reports in major newspaper The Australian, Del Piero will sign a deal worth $2m per season which will be a record for the domestic game with an official announcement expected on Wednesday.