Altria Group Inc. is recalling dozens of smokeless tobacco products including some sold under its popular Copenhagen and Skoal brands after receiving eight reports from consumers who found metal objects inside cans.

The recall, from the company’s U.S. Smokeless Tobacco Co. subsidiary, applies to all products manufactured at the company’s Franklin Park, Ill., facility. The company said it is still assessing how many cans are affected by the voluntary recall. It hasn’t set a limit on the manufacture date of the products being...