Liverpool’s talisman Salah went off injured in the first half of the Champions League final after a challenge from the Real Madrid defender.
The organisers of a change.org petition have argued the Spaniard deliberately held the Egyptian winger’s arm “under his armpit, causing dislocation of his shoulder”.
Hundreds of thousands of people had signed in support of the claims on Monday evening, with the petition calling on UEFA and FIFA to punish Ramos.
It comes as Egyptian lawyer Bassem Wahba launched a €1bn (£873m) lawsuit against Ramos, amid fears Salah may be unable to represent his national side in the 2018 World Cup.
Mr Wahba said he had filed a complaint to FIFA claiming Ramos had inflicted “physical and psychological harm” upon Salah.
He told the Egyptian television channel Sada El-Balad: “Ramos intentionally injured Mo Salah and should be punished about his actions.”
Mr Wahab continued: “I’ve filed a lawsuit and a complaint to FIFA.
El fútbol te enseña la cara más dulce a veces y la más amarga otras. Ante todo somos compañeros. Pronta recuperación, Salah. El futuro te espera.||Sometimes football shows you it’s good side and other times the bad. Above all, we are fellow pros. #GetWellSoon@MoSalah
— Sergio Ramos (@SergioRamos) May 27, 2018
“I’ll ask for compensation, which could exceed €1bn, for the physical and psychological harm that Ramos gave Salah and the Egyptian people.”
The Premier League’s 2017/2018 top scorer has said he is “confident” he will be fit for the summer tournament in Russia despite injury fears.
The 25-year-old left the field in tears before Real Madrid’s 3-1 victory in Kiev on Saturday night.
Liverpool had nine shots while he was on the pitch but none for the remaining of the half.
Ramos, who was not given a yellow card for his controversial challenge, wished Salah an “early recovery” on Sunday.
In a tweet translated from Spanish, he wrote: “Football teaches you the sweetest face at times and the bitterest of others (sic).
“First of all we are partners.
“Early recovery, Salah. The future awaits you.”
Those who created the petition to punish Ramos also criticised his performance in the rest of the match.
Haven’t really slept until now… the scenes are still running through my head again and again… I’m infinitely sorry to my teammates, for you fans, and for all the staff. I know that I messed it up with the two mistakes and let you all down… pic.twitter.com/w9GixPiQDC
— Loris Karius (@LorisKarius) May 27, 2018
They wrote: “He kept acting that (sic) Liverpool players fouled him falsely, causing the referee to give Mane a yellow card he did not deserve.
“Sergio Ramos represents an awful example to future generations of football players.
“Instead of winning matches fairly, he uses tricks that defy the spirit of the game and fair play.
“UEFA and FIFA should take measures against Ramos and similar players, using the video recordings of matches to keep the spirit of the game.”
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Real Madrid secured their third Champions League title in a row with help from two goalkeeping blunders from Loris Karius.
The Liverpool goalkeeper has since received death threats after his performance in the final, which the Reds lost 3-1.