The indictments of two former 21st Century Fox Inc. executives related to alleged soccer bribery schemes could mean more scrutiny for the company, according to a white-collar crime expert.

The charges also should be a wake-up signal to all general counsel who have only worried about bribery of foreign officials under the U.S. Foreign Corrupt Practices Act, and not about “old fashioned bribery” involving private individuals or other companies, warned Matthew Reinhard, a white-collar crime and investigations attorney at Miller & Chevalier in Washington, D.C.