The Blues defender indicated to both his captain Cesar Azpilicueta and referee Anthony Taylor that monkey chants were being directed at him.
The alleged abuse start soon after Heung-min Son was sent off for a kick out at Rudiger.
Soon after the defender reported the abuse, Taylor implemented the first step of FIFA’s protocol in dealing with discrimination in games – with a stadium announcement stating that ‘racist behaviour is interfering with the game’.
Two further calls from the stadium PA came before the end of the contest, which Chelsea won 2-0.
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Tottenham released a statement on Monday vowing to ‘exhaustively’ investigate the matter involving Rudiger.