Ba joined Chelsea from the Magpies for £7million just seven months ago.
The Mirror reports that the two clubs are in talks over the highly-rated 28-year-old striker.
Ba scored 29 goals in 54 games during his 18-month spell at Newcastle.
Ba is currently not a regular under new Chelsea manager Jose Mourinho.
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Summer 2016 is set to be a very exciting time for football fans, as this is when the long awaited Euro 2016 tournament kicks off.
Since Guus Hiddink arrived at the helm, Chelsea have improved considerably after a tricky start to the campaign.