Dyluis Rojas and his wife and children fled first from Venezuela and later from Colombia and Chile, crossing deserts, jungles and rivers with one goal: to make it to the United States and stay there.

The family arrived in June 2022. Less than a year and a half later, they were elated when they received news that their asylum application had been approved by U.S. Citizenship and Immigration Services, one of the federal agencies that processes immigration matters. Mr. Rojas and his wife could soon begin to work. They would eventually be able to apply for green cards.

Then, a few days later, another letter arrived, with the same date and signed by the same official. It said that Mr. Rojas’s asylum claim had been deemed “not credible” and that he had not been granted asylum. The family faced deportation.

“We were at zero all over again,” Mr. Rojas said.

It is unclear why two opposing notices were issued and which one will stand. Immigration lawyers said that Mr. Rojas’s situation seemed highly unusual, but that miscommunication by and within government agencies was not uncommon. Now, the family is waiting again, uncertain about their fate.