The signing of Bromley, the team's third-round draft pick out of Syracuse in the May draft, means that the Giants have now signed all of their draft picks.
Bromley, 22, a 6'4", 307-pound DT, will compete for playing time with Cullen Jenkins, Mike Patterson, Johnathan Hankins, and others.
Manning, 24, a 6'2", 237-pound LB, appeared in one game for the Chargers last year and in eight games for the Packers in 2012.
He was a fifth-round draft pick by the Packers out of NC State in 2012.
New York Giants