Savings Through Security Act This bill provides appropriations to the Department of Homeland Security for the procurement and deployment of infrastructure, technology, and manpower to secure the international border between the United States and Mexico. The bill also requires specified federal agencies to (1) report on costs associated with expenditures on unauthorized aliens, and (2) remit to the Treasury certain savings that are attributable to the funds provided by this bill to secure the international border between the United States and Mexico.