SAN FRANCISCO — Apple is hitching its case for $15.7 million in attorney fees from Samsung to the U.S. Supreme Court’s recent rulings on fee shifting in patent cases.

In the aftermath of the companies’ original 2012 patent trial, Apple Inc. is trying to force Samsung Electronics Co. to cover a chunk of its $60 million legal bill to Morrison & Foerster. Its latest filings have drawn ammunition from Octane Fitness v. Icon Health & Fitness and Highmark v. Allcare Health Management System, a pair of April rulings in which the high court gave district judges more discretion to award attorney fees under the Patent Act.