The Cameroon defender was reportedly the subject of abuse on the social networking site after he scored a late equaliser against Everton on Saturday to secure a 1-1 draw
The Cameroon defender headed in a last-minute equaliser to earn his side a 1-1 draw with Everton at Goodison Park on Saturday.
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McNally took to the site himself on Sunday morning to announce the actions the club would undertake regarding the alleged messages.
"For those asking last night, we will be following up with the police regarding the racist comments reported after the game," he tweeted.
"Not relevant which team they support. Don't accept racism from anyone and so these comments will be reported to the police."
Everton had taken an early lead through Steven Naismith on Merseyside before Bassong clinched a point for the travelling Canaries in added time to extend their current unbeaten run.