SAN JUAN, P.R. — Law enforcement authorities in Puerto Rico executed search warrants on Tuesday against several people in Gov. Ricardo A. Rosselló’s inner circle whose exchange of sexist and homophobic chat messages triggered a popular uprising on the island.

A judge issued warrants for the cellphone seizures on Monday, said Mariana Cobián Rodríguez, a spokeswoman for the Puerto Rico Department of Justice. She declined to name those who had been ordered to surrender their phones.

Calls mounted throughout the day for Mr. Rosselló to leave office. The island’s largest newspaper, El Nuevo Día, citing unnamed sources, reported late Tuesday that Mr. Rosselló was close to announcing his resignation and had recorded a farewell message. The report could not be confirmed.

Mr. Rosselló was the administrator of the monthslong group chat, which was conducted on the Telegram messaging app and included some of his closest advisers, cabinet officials and lobbyists. The dozen men, including Puerto Rico’s secretary of state and chief financial officer, used the group to discuss government business, criticize their political foes and make jokes about their friends. The nearly 900 pages of messages, published by the Center for Investigative Journalism in Puerto Rico, also included a joke about shooting Carmen Yulín Cruz, the mayor of the territory’s capital, San Juan.