The agency's internal affairs department was investigating the kidnapping case when it received a separate extortion complaint from another person, leading to the new arrests, a federal official said yesterday.
"Internal affairs will continue the investigation of the two cases to find out if there are more involved in order to root out criminal acts" in the police force, the official said.
On Sunday, 13 federal police officers were taken into custody and face charges over kidnapping a businessman in Matamoros, a crime-riddled city that lies across from Brownsville, Texas. The man was released and found on a highway following the abduction.
Soldiers were accused of summarily executing gang suspects in central Mexico last year.
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In September, municipal police in southern Guerrero state abducted 43 college students and delivered them to a drug gang, which slaughtered the group, according to prosecutors.
Matamoros, meanwhile, has been hit by a surge of drug cartel violence this year that has terrorised the population.
On Sunday, unidentified gunmen opened fire on the convoy of Mayor Leticia Salazar, who escaped unscathed.
Matamoros is known as a bastion of the Gulf cartel, whose internal battles have been blamed for the recent violence in the city and the rest of Tamaulipas state.