Second-row Savelio made a complaint to referee James Child during the first half of the game which Hull lost 16-14 and the incident was put on report.
Hull FC and Wigan Warriors have this afternoon issued a joint statement.
It read: "It is alleged that Hull FC player Andre Savelio was subject to racist abuse from Wigan Warriors player Tony Clubb
"Both clubs have discussed the matter and are in dialogue with the RFL, who will review and investigate the incident through the normal match review and disciplinary process.
"Meanwhile, both Hull FC and Wigan Warriors have launched a joint internal investigation, demonstrating their strong and united approach against racial abuse.
"Hull FC and Wigan Warriors, alongside the ten other clubs in the Super League, continue to stand firm against all types of discrimination and abuse.
"Equality matters, and Hull FC and Wigan Warriors are united in this message.
"Hull FC chief executive, James Clark, said: “Andre has the full support of everyone at our club and we will work hard to ensure this incident is thoroughly investigated and that his voice can be heard. Racial abuse is not acceptable in any form.
“This is obviously an emotive and highly personal subject, and he has access to the best possible welfare network should it be required.
“A zero-tolerance approach to all forms of abuse is prevalent in Rugby League - we are a welcoming sport that prides itself on its core values of inclusion, community, diversity and respect.
“We would also like to note the professional, transparent and sympathetic approach to the handling of this matter by Kris Radlinski and Wigan Warriors.”
Wigan Warriors executive director, Kris Radlinski, added: "There is no room for racism in sport in any form and we take the accusations made by Hull's Andre Savelio very seriously.
"Our immediate intention is to work closely with Hull and the governing body to gather all the facts and support the investigation process that is in place.
“In the short term, Tony Clubb will be suspended from all Club activities. Tony's evidence will be taken into consideration by all parties moving forward and his welfare will remain a responsibility of Wigan Warriors throughout the investigation."
Neither club nor their players will make any further comment on this matter at this time.