Del Piero is out of contract and reports have strongly linked the forward with a move to Australian outfit Sydney FC.
Sion and Southampton are also reported to be interested in the Italian forward.
Reports now suggest that Del Piero has received a late offer from Liverpool and is considering joining the Premier League side.
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Since Guus Hiddink arrived at the helm, Chelsea have improved considerably after a tricky start to the campaign.
Newcastle United are staring down the barrel of relegation to the Championship for the second time in the past eight years.