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Insurance giant AIG is still sponsoring football-related events for the NFL, but they’re not issuing new insurance policies covering head injuries for NFL players.

According to Josh Kosman of the New York Post, AIG will “exclude coverage for head injuries,” moving forward. They’ve previously stopped insuring Pop Warner football a few years ago, triggered by the concussion crisis.

They’ll still write policies for NFL players for non-brain injury protection.

But the insurance company also keeps its name on football, sponsoring the league’s USA Football arm, which works at the youth level to try to make the game safer by teaching kids safe tackling techniques and emphasizing proper helmet fit.

Both the NFL and AIG declined comment for the story.

AIG is also among the many insurers suing the NFL to avoid paying $1 billion in costs for concussion-related lawsuits, charging the league covered up the dangers of head injuries, which could get them out of paying huge sums of money.