Early Detection to Stop Infant Abuse and Prevent Fatalities Act This bill establishes a three-year grant program to detect and prevent the abuse of infants under seven months old. Specifically, health services organizations, including multidisciplinary partnerships, receiving such grants must develop (1) best practices to assist medical professional in identifying, assessing, and responding to potential abuse and (2) strategies to improve communication between child protective services agencies and individuals that report infant abuse. Funding also may be used to address injuries resulting from infant abuse and to raise awareness about infant abuse within the health and child care community.