Maritime Security And Fisheries Enforcement Act or the Maritime SAFE Act This bill addresses illegal, unreported, and unregulated fishing (IUU fishing) and maritime security. Among other things, the bill establishes an interagency working group on maritime security, IUU fishing, and seafood fraud; increases the capacity of IUU fishing enforcement and customs and border security officers at U.S. ports; requires collaboration with other countries to improve transparency and traceability in the seafood supply chain; promotes the use of technology to combat IUU fishing; establishes a sub-working group to address IUU fishing within the U.S. exclusive economic zone in the Gulf of Mexico; and addresses human trafficking in connection with the catching and processing of seafood products.