Her lawyer, Gaston Marano, said: “There was collusion between the foreign and local immigration authorities.”
Ms Alvarez said her relationship with Maradona lasted for three years.
In an interview with América TeVe, Ms Alvarez said she had kept silent about it for decades out of fear her family could face repercussions by the Cuban regime.
She also revealed that at one point the footballer introduced her to Cuban leader Fidel Castro, who put his arms around her and asked Maradona how he had met such a beautiful girl.
Ms Alvarez said Castro gave her a special dispensation to leave the country, which Cubans were forbidden from doing at the time, to attend a commemorative match for Maradona in Argentina.
A photograph of the Cuban dictator with Ms Alvarez and Maradona was released by the TV station.
“After all these years I feel ashamed of myself, knowing I was 16, and I was part of all this. But it was another experience in my life. We don’t always choose what happens to us,” she told América TeVe.
In the newly surfaced video, Maradona is seen with a camera in his hands while the teenage Ms Alvarez looks visibly uncomfortable.
In one scene, the pair film themselves on a bed while a football match commentary can be heard in the background, according to the Spanish-language news outlet Infobae, which obtained the videos.
Other videos show Maradona’s associates in the room.
Maradona, who led Argentina to World Cup glory in 1986, died in 2020 of a heart attack after undergoing brain surgery.