The Fire also got a goal from Jhon Kennedy Hurtado as they continued United's long winless streak, despite strikes for the home side from Fabian Espindola and Perry Kitchen.
An opener from Jhon Kennedy Hurtado and Quincy Amarikwa's late equalizer salvaged a 2-2 draw on the road for Chicago (0-1-3), while United (0-2-1) remains winless in league play since August despite getting goals from Fabian Espindola and Perry Kitchen.
Although United seized control of the early proceedings, it was the Fire who took the lead in the 27th minute. Shaking United defender Sean Franklin, Hurtado rose to head Harrison Shipp's corner kick and send it into the back of the net.
United equalized eight minutes later. After Eddie Johnson earned a free kick just on the edge of the penalty area, United ran a set play in which Nick DeLeoon teed the ball up for Espindola to drill into the lower right corner.
It was on another set piece that United took its first lead of 2014. Connecting with a corner kick in the 73rd minute, Bobby Boswell saw his header cleared off the line and his stab at the rebound ring off post before Kitchen was there at the doorstep to bundle a shot home.
But Chicago equalized with eight minutes left, as substitute Patrick Nyarko torched Cristian Fernandez on the right flank before centering to Amarikwa, who coolly fired past Bill Hamid.