Abandoned Infants Assistance Act of 1988

Abandoned Infants Assistance Act of 1987 - Requires the Secretary of Health and Human Services to make grants to local governments to support projects to: (1) demonstrate methods of providing incentives to provide foster care for infants abandoned in hospitals; and (2) train foster care personnel regarding infants exposed to drugs and infants with acquired immune deficiency syndrome (AIDS). Requires the Secretary to make grants to local governments to support demonstration projects to train and employ counselors for prevention and intervention services for pregnant women who are drug abusers, likely to give birth to infants with AIDS, and likely to abandon their infants in hospitals. Requires the Secretary to make grants to local governments to support the establishment of respite homes for infants abandoned in hospitals. Requires the Secretary, in making such grants, to give preference to areas in which there is the greatest need for such homes. Requires, to be eligible for grants under this Act, submission of applications including certain assurances. Requires the Secretary to submit a report to the Congress regarding the number of infants abandoned in U.S. hospitals who have AIDS and the estimated costs to Federal, State, and local governments to provide housing and care for such infants. Authorizes appropriations for FY 1988 through 1990.