CHICAGO — A day after grand jurors decided not to issue indictments in connection with the death of Sandra Bland in a Texas jail, lawyers for her family urged prosecutors to press for criminal charges against the state trooper who arrested Ms. Bland.

Ms. Bland, an Illinois resident who was moving to Texas to start a new job, was arrested on July 10 after a routine traffic stop in Prairie View, northwest of Houston, and taken to the Waller County jail. Three days later, she was found hanging from a trash bag in her cell. A police dashboard camera video that gained national attention after its release showed the arrest escalating into a violent confrontation between Ms. Bland and the arresting trooper, Brian Encinia.

Though grand jurors decided not to indict any of Ms. Bland’s jailers in connection with her death, the investigation remains open, and it is widely assumed that the panel could still consider criminal charges against Trooper Encinia when it reconvenes next month.

“I can’t tell you what we’re going back to consider,” said Darrell Jordan, a special prosecutor assigned to the case, who cited Texas law regarding grand jury secrecy. “But you can do the math and figure out what it is.”