Park took advantage of a depleted Friends squad on Sept. 14, beating the visitors, 4-1.
In that game, Friends dressed only 13 players, because five had been suspended for breaking team rules, Quakers' coach John Docherty said.
The rematch, however, was a different story Wednesday afternoon in rainy Roland Park.
Host Friends blanked Park, 2-0, behind goals from Connor Finn and Mike Sweet in a Maryland Interscholastic Athletic Association B Conference game.
"This win is big. We are in a battle for second place," said Friends coach John Docherty, whose Quakers (8-4) are ahead of Severn and Boys' Latin in the league standings.
The Quakers took the lead in the 16th minute when Nabil Odulate's shot hit the cross bar and the alert Sweet knocked the rebound past keeper Jake Abrams.
Finn scored an insurance goal early in the second half.
Park pressured the Quakers late, but Friends sophomore goalie Will Frost certainly did his part to help the winners pitch their fifth shutout.
He made 10 saves, including six in the final 10 minutes. Frost's best stop came when he was on the ground and still stuffed Nathan Randrianarivelo's point-blank attempt.
"I think we had three or four quality scoring chances and unfortunately, we couldn't put it in," Park coach Lucky Mallonee said. "When they (Friends) had their opportunities, they put them in the goal."