Five people were decapitated and five others were killed in a spate of violent incidents in the Mexican city of Torrean.
"The five human heads were found in various places" in the city, the official said, noting that the first skull had been found on Friday night and the fifth early on Saturday.
The bodies of the victims, all of whom were linked to organised crime according to the official, have not been found.
Five other men were killed in various acts of violence, the official added. Four of them were gunned down and the fifth was stabbed to death.
Torrean is the largest city in Coahuila state, which borders Texas and has been the scene of constant clashes between drug gangs fighting for control of routes used to smuggle narcotics and immigrants into the United States.