As top world soccer officials gather in Zurich this week to discuss efforts to clean up corruption in the sport, several of their colleagues continue to sit in a Swiss jail, fighting an increasingly difficult battle against efforts to bring them to court in the United States.

On Wednesday, the Swiss Federal Office of Justice said it had approved the extradition of Rafael Esquivel, a former president of Venezuela’s soccer federation, to the United States. Last week, Swiss authorities made a similar announcement regarding Eugenio Figueredo, a former vice president of the South American soccer confederation who lives in Uruguay.

Mr. Esquivel and Mr. Figueredo were among seven men jailed in Switzerland after the United States issued warrants for their arrest in May, when top international officials had convened in Zurich for the annual congress of FIFA, world soccer’s governing body. The men are accused of accepting millions of dollars in bribes in connection with the sale of marketing rights to major international tournaments.

“The facts laid down in the U.S. extradition request are also punishable under Swiss law,” the Swiss Federal Office of Justice said in a statement on Wednesday. “By accepting bribes for the award of sports marketing contracts, Esquivel massively influenced the competitive situation and distorted the market for media rights.”