The Magpies had a £4million bid for the 20-year-old winger rejected during the recent transfer window.
Ince has impressed for Blackpool in the Championship this season and has already scored four times.
The Mirror reports that Newcastle boss Alan Pardew will make a new attempt at signing the winger in the January transfer window.
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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.