ISLAMABAD, Pakistan — The Pakistani Taliban on Friday warned that they would take action against an electricity company if power failures continued to plague Karachi, a southern port city that is reeling from a devastating heat wave that has killed at least 1,000 people in recent days.

In a statement, Muhammad Khurasani, the spokesman for Tehreek-e-Taliban Pakistan, expressed sympathy for those who had died in the heat wave and placed blame for the deaths on K-Electric, a private company that provides electricity to Karachi.

“Tehreek-e-Taliban Pakistan considers K-Electric to be completely responsible due to its unnecessary power outages and profiteering practices,” the statement said. It warned that the Taliban would take action if the power failures continued, but gave no specifics on what those actions might be.

By issuing a warning to the electricity company, the Taliban seemed to be taking a new direction in their propaganda campaign, aimed at regaining public support after the backlash caused by the slaughter of dozens of children at a school in Peshawar last year.