Federal appellate judges pressed Harvard College Wednesday on its argument that its insurance company must pay some legal costs the school incurred defending its admissions policy in a case pending at the U.S. Supreme Court, noting that Harvard missed a deadline to notify the insurer about its coverage claim.

During oral arguments, Judge Bruce Selya said applicable precedent from Massachusetts’ top court holds that notice provisions in claims-made policies must be strictly complied with and that insurers need not show harm stemming from the late notice.