Based on absolutely nothing except the sheer depth of the pockets required, the involvement of a genuinely huge investment group in Citigroup and the Middle Eastern profile, I would imagine this'll be a big name and we're probably quite far down the road.
It won't be PIF or CFG as multi club ownership rules make it impossible, but it may genuinely be in that ball park. The only investors with the funds would have to be multi billionaires beyond anything King Power has. Call me wildly optimistic, but this might be a state-backed entity who have other clubs elsewhere. Do QSI have any English clubs?