The French forward came close to securing a switch to the Premier League over the summer, with the Magpies thought to have been within a whisker of securing his signature.
But despite seeing the deal collapse at the last minute, Gomis is still thought to be keen to move to England, alerting West Ham.
Hammers chief Sam Allardyce is thought to be desperate to land a new striker in the coming transfer window after enduring a difficult start to the season.
Big money arrival Andy Carroll has so far been unable to make an impact at the club this season, with a series of injuries leaving him on the sidelines, while the likes of Modibo Maiga, Carlton Cole and Mladen Petric have all failed to convince ‘Big Sam’ of their abilities.
Gomis rumoured to be seen as an ideal solution by the Irons boss, who is ready to sanction a £5m swoop.
Lyon are holding out for a fee closer to £7m, but may be tempted to cash in in order to reduce their current wage bill.
The 28-year-old has been in good form so far this season, and has previously been compared to former Chelsea icon Didier Drogba.
Could Bafetimbi Gomis solve West Ham’s attacking problems?
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