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He said the case would be a key test for the Obama administration.

Mr. Gutierrez also joined the letter to Mrs. Clinton this week on Mexico’s treatment of migrants.

In that letter, the lawmakers said U.S. aid under the Merida Initiative has gone to aid Mexican anti-drug trafficking efforts, but that some of the same law enforcement agencies that got that money have been implicated in the abuses of illegal immigrants there.

“The daily abuses suffered by migrants en route to the United States directly impact American lives, and American policymakers need to make stopping them a priority,” said Mr. Grijalva, who led the letter. “The State Department has a responsibility to look beyond our own borders and halt these ongoing tragedies.”