Jeremy Deering and Terik Greensberry each had long touchdown runs, Brandon Toombs had two interceptions, and host Leto (1-1) held off a Bloomingdale (0-3) rally.
On the second play of the second half, Greensberry gashed the Bloomingdale defense for a 75-yard touchdown run to put the Falcons up 15-0.
Two possessions later, Deering broke a 55-yard touchdown run. Deering also scored from 2 yards out in the first quarter.
Bloomingdale's first score came midway through the third quarter when Leto quarterback Dominic Marino was called for intentional grounding in the end zone for a safety.
After Leto pushed the lead to 22-2 on Deering's run, the Bulls scored on consecutive fourth-quarter possessions - getting a 6-yard run from Derrick Johnson and an 80-yard run by quarterback Eugene Perry.
The Bulls had two drives to tie the game, but Leto's Brandon Toombs picked off Perry with one minute left in the game.