RIO DE JANEIRO — The former Brazilian president, Jair Bolsonaro, has filed a request for a six-month visitor visa to stay in America, indicating he may have no immediate intention of returning home, where legal issues await.

Mr. Bolsonaro left Brazil for Florida on December 30, two days before the inauguration of his leftist rival, Luiz Inácio “Lula” da Silva. 

The ceremony proceeded without incident, but a week later thousands of Mr. Bolsonaro’s die-hard supporters stormed the capital and trashed the top government buildings demanding that Mr. da Silva’s election be overturned.

Mr. Bolsonaro is being investigated for whether he had any role in inciting that uprising. It is just one of several probes targeting the former president. These probes pose a legal headache upon his eventual homecoming, and which could strip him of his eligibility in future races — or worse.

For the first time in his more than three-decade political career as a lawmaker then as president, he no longer enjoys the special legal protection that requires any trial be held at the Supreme Court.

It has been widely assumed — though not confirmed — that Mr. Bolsonaro entered America on an A-1 visa reserved for sitting heads of state. If so, he would have 30 days from the end of his presidential term to either leave or adjust his status with the Department of Homeland Security.

Meantime, the shape of his political future and his potential return to Brazil has been a matter of rumor and speculation.

Mr. Bolsonaro’s calculus appears to be to distance himself from the radicals whose destruction in the capital could implicate him in the short term, with the aim of some day returning to lead the opposition, said a political analyst at Medley Advisors, Mario Sérgio Lima.

“He is giving it some time, staying away a bit from the country at a moment when he can begin to suffer legal consequences for his supporters’ attitudes,” said Mr. Lima. “I don’t think the fact of him staying away is enough. The processes will continue, but maybe he thinks he can at least avoid some sort of revenge punishment.”

Mr. Bolsonaro has been staying at a home outside Orlando, Florida, and video has shown him snapping photos with supporters in the gated community and ambling around inside a supermarket.

In the wake of the rampage in the Brazilian capital this month, a group of 46 Democratic lawmakers sent a letter to President Biden demanding Mr. Bolsonaro’s visa be revoked.

“The United States must not provide shelter for him, or any authoritarian who has inspired such violence against democratic institutions,” they wrote.

Mr. Bolsonaro’s son, a senator, told reporters at an event this weekend that he was not sure when his father would return to Brazil.

“It could be tomorrow, it could be in six months, he might never return. I don’t know. He’s relaxing,” Senator Flávio Bolsonaro said.

Asked whether Bolsonaro has filed any request for documentation or help with visa processes, Brazil’s foreign ministry referred AP to American authorities. 

Citizenship and Immigration Services referred AP to the State Department, which has repeatedly declined comment to questions about Bolsonaro’s visa status in America.

Mr. Bolsonaro’s application for a visitors’ visa was first reported by the Financial Times, citing Mr. Bolsonaro’s immigration lawyer, Felipe Alexandre. Contacted by the Associated Press, the lawyer’s firm, AG Immigration, confirmed the report.