The Red Bulls played most of the game with a one-man advantage after Dallas’ Je-Vaughn Watson was given a red card in the 10th minute.
Perez entered in the 70th minute for David Texeira and scored his third goal of the season when the ball fell to his feet 3 yards from the goal line following a long ball in.
The English Premier League club will face FC Dallas on July 23 in Frisco, Texas, then play at the Houston Dynamo three days later.
FC Dallas has signed defender Matt Hedges to a multiyear contract extension. Hedges was a first-round draft pick in 2012 and had career and team highs with 33 games and 32 starts last season. He scored three goals in both 2012 and 2013.
Major League Soccer is prepared to start its season this weekend even if there isn’t a labor deal with its referees and other on-field officials.
FC Dallas has acquired Colombian forward Andres Ramiro Escobar on loan from Ukrainian power Dynamo Kiev.
The Seattle Sounders continue to overhaul their roster, trading midfielder Adam Moffat to FC Dallas on Friday for the rights to forward Kenny Cooper.
The 2014 Major League Soccer All-Star game will be against legendary German club Bayern Munich, the reigning European and Bundesliga champions.
FC Dallas head coach Schellas Hyndman is stepping down just three years removed from leading the club to its only MLS Cup appearance.
Mike Magee tied for the MLS goal-scoring lead and added an assist to help the Chicago Fire hold off FC Dallas 3-2 Saturday night.
When his team first came together, Red Bulls coach Mike Petke wasn’t sure what he had in Luis Robles. Seven months later, Petke knows that Robles is a goaltender who can win games.
David Ferreira scored a go-ahead goal in the 51st minute, but FC Dallas (10-8-11, 41 points) surrendered two goals to the Colorado Rapids (12-8-9, 45) in a seven minute span to lose, 2-1, at Dick’s Sporting Goods Park Saturday.