The IOC has banned Russian Federation from the PyeongChang Winter Olympics over "systematic manipulation" of the anti-doping system in Sochi, but 169 athletes with no history of doping have been invited to compete as neutrals.
In all, 32 Russian athletes filed their appeals with the Court of Arbitration for Sport.
CAS says a hearing is likely Wednesday in Pyeongchang.
The excluded athletes appealing to CAS also include figure skater Ksenia Stolbova, who won a team gold medal at the Sochi Games, and Ruslan Zakharov, who was a short track relay gold medallist in Sochi.
The IOC must wait for a reasoned decision from CAS before an appeal can be launched.
The IOC rejection comes on the heels of a ban in December of all Russian athletes stemming from allegations of widespread doping during the 2016 Sochi Winter Olympics.
"We talk more than we walk", Pound added.
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"Receiving this invitation is a privilege for a clean Russian athlete".
We never expected this, ' Bach told a media conference.
On the other hand, the International Olympic Committee regrets very much that - according to the CAS press release - the panels did not take this proven existence of the systemic manipulation of the anti-doping system into consideration for the other 28 cases.
Australia's John Coates, president of the court's governing body, said the tribunal would "thoroughly examine" the concerns raised by Bach and would issue details of the decisions as soon as possible.
On Thursday the Court for Arbitration for Sport overturned life bans imposed on 28 Russian athletes linked to a Russian state-sponsored doping scheme, ruling them potentially eligible for participation in the Winter Olympics.
International Olympic Committee chiefs were stunned last Thursday when the Court for Arbitration for Sport overturned life bans imposed on 28 Russian athletes linked to a state-sponsored doping scheme operating at the 2014 Sochi Winter Olympics, ruling them potentially eligible for participation in Pyeongchang. Only 10 of them will compete for their country at the Games, with another 12 on the roster of a unified Korean women's ice hockey team.
Russian officials and athletes have said they're also planning more legal action.