The funds are for the second phase of a road upgrade and maintenance program.
Latin America's longest-serving leader promised to boost public spending on infrastructure ahead of his country's 2019 presidential elections.
The concessionaire will file a lawsuit against the Brazilian federal and Paraná state governments.
The proceeds will be used to extend the rail concessionaire's debt profile.
The recently revealed controversy, known locally as the "corruption notebooks," involves illegal payments allegedly linked to contracts for projects that are still underway.
Auctioning the Integração do Sul highway complex is planned for November.
The increasing need for financing for infrastructure projects and the reduction of BNDES' footprint create room for other players to finance projects.
The cars are expected to arrive in September 2019 and will run on existing metro lines 1 and 2 in the northern Mexican city, as well as line No. 3, which is currently under construction.