Italian daily Il Tempo reports that Roma are keen on signing the 28-year-old striker before the transfer window closes.
Roma face competition from Ba’s former club Newcastle, who are keen to take the striker back to St James’ Park.
Ba joined Chelsea from the Magpies for £7million just seven months ago.
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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.