The Baggies forward scored twice in the shock win at Stamford Bridge.
But following the victory for Sam Allardyce’s side, Robinson became the latest player to be targeted on social media, with the club describing the abuse as “disturbing”.
A statement read: “West Bromwich Albion has contacted West Midlands Police to report racist social media posts directed at Callum Robinson following Saturday’s 5-2 win over Chelsea.
“The despicable Instagram posts were sent in reply to the Republic of Ireland international after he scored twice in a memorable team performance at Stamford Bridge.
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“The club is appalled by the messages and will offer Callum the help and support he may require in response to the incident.
“Albion will continue to confront all forms of discrimination and will assist the authorities with their inquiries, seeking the toughest available legal punishment.
“It is deeply disturbing that scoring two goals in a football match can provoke a reaction of this kind. There is No Room For Racism. Anywhere. Challenge it, report it, change it.”
While Chelsea responded by vowing to take the “strongest possible action” against any Chelsea season ticket holder or member proven to be involved in such behaviour.
A statement read: “Chelsea FC is disgusted with posts on social media this evening targeting West Bromwich Albion player Callum Robinson. Chelsea FC finds all forms of discriminatory behaviour totally unacceptable.
“Racism has no place at this club and where there is sufficient evidence of a Chelsea season ticket holder or member involved in such behaviour, we will take the strongest possible action against them.”
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