Fifa’s overworked ethics committee has confirmed for the first time that Franz Beckenbauer, the German football great, and Ángel María Villar Llona, the Spanish Fifa vice-president who is presiding over Uefa in the absence of the suspended Michel Platini, are among those under its investigation.

Following a rule change on Tuesday by its executive committee, Fifa’s ethics committee confirmed that investigations into the pair had been concluded and they were now awaiting the verdict of Hans-Joachim Eckert, the German judge who heads the adjudicatory division.

Ten of the 24 executive committee members originally eligible to vote for the contentious and chaotic decisions to take the World Cup to Russia in 2018 and Qatar in 2022 have been suspended or banned by Fifa’s ethics committee.

The roll call released on Wednesday also included a new case against Amos Adamu, the Nigerian who served a three-year ban in 2010 after being caught by a newspaper investigation seeking almost $1m from undercover reporters. Details of the latest case against Adamu were not given.

The statement also confirmed continuing inquiries into Jeffrey Webb of the Cayman Islands and Uruguay’s Eugenio Figueredo, both former Fifa vice‑presidents, and Nicolás Leoz, a former executive committee member from Paraguay. All three were indicted for bribery by the US Department of Justice in May. Ricardo Teixeira, the longtime Brazilian football leader and former Fifa executive committee member, is also under investigation, the ethics committee confirmed.

The investigations into Beckenbauer and Villar Llona had already been reported after both refused to cooperate with Michael Garcia’s inquiry into the awarding of the 2018 and 2022 World Cups. Garcia later quit as Fifa’s independent ethics investigator in frustration at the publication by Eckert of what he saw as an incomplete summary of his 430-page report.

Beckenbauer, who captained and coached World Cup-winning West Germany teams, twice refused to meet with Garcia and was barred from travelling to the World Cup in Brazil by a provisional suspension. It was lifted during the tournament when he sent answers to Garcia.

More recently, he has also been under pressure following allegations in Germany that a £6.7m slush fund was created to buy votes to secure the 2006 World Cup. The allegations have been denied by the German FA and its president Wolfgang Niersbach.

Villar Llona, who chairs Fifa’s legal committee and headed Uefa’s crisis meeting in Nyon this week in the wake of the suspension of Platini as president over an alleged £1.35m “disloyal payment” that he accepted from Sepp Blatter in 2011, is also under investigation. At a heated Fifa executive committee meeting in March 2014, he is understood to have been among those who attempted to stop Garcia questioning Fifa officials and have him thrown off the case.

Blatter had previously accepted that “a bundle of votes” had been swapped between Spain and Qatar, in apparent contravention of the rules, but no official action was taken and Eckert made no mention of it in his final summary of Garcia’s report.

It was widely alleged at the time that a bloc of seven votes was traded between Spain and Qatar.

As previously revealed by the Guardian, the ethics committee confirmed that it aimed to judge Blatter and Platini during their 90 day suspensions. Platini still hopes to stand on February 26 for the Fifa presidency, despite the fact his suspension means he will miss the October 26 deadline to submit to an integrity check appearing to deal a killer blow to his hopes.

Blatter is also under criminal investigation by Swiss authorities over the £1.35m payment to Platini in February 2011, nine years after the pair claimed it was due under the Frenchman’s contract that ended in 2002. The head of Fifa’s audit committee, Domenico Scala, has called it a “classic conflict of interest” but both deny wrongdoing.

In a separate case, suspended Fifa secretary general Jerome Valcke is accused of “misuse of expenses and other infringements of Fifa’s rules and regulations,” the ethics committee said.

Valcke was suspended on the same day as allegations emerged that he had planned to sell World Cup tickets above face value. He strongly denied the allegations.