MOUNT PLEASANT, Wis.—Foxconn Technology Group is considering bringing in personnel from China to help staff a large facility under construction in southern Wisconsin as it struggles to find engineers and other workers in one of the tightest labor markets in the U.S.

The company, the Taiwanese supplier to Apple Inc., has been trying to tap Chinese engineers through internal transfers to supplement staffing for the Wisconsin plant, according to people familiar with the matter.

The...