0-1 Bertolo 33'
1-1 Colunga (pen.) 49'
Getafe could not make pressure count against a ten-man Zaragoza side who also had chances to kill off what was an entertaining but low-quality match at the Coliseum.
The hosts' failure to find the net increased their winless run in La Liga to four games, although the previous three were defeats.
It's a particularly disappointing result given that Zaragoza played most of the second half a man down, and the Aragón side both began and ended the night in last place.
Zaragoza took the lead just after the half hour mark in bizarre circumstances. Jordi Codina came 40 yards off his line to the touchline to meet a speculative ball forward but made a hash of his clearance; Argentine midfielder Nicolás Bertolo - who had a superb game - duly dispossesed the 'keeper and chipped the ball into the net from a distance.
Adrián Colunga levelled the score five minutes after the break, slotting home a penalty after Dani Parejo was unfairly challenged in the box by Florent Sinama-Pongolle, who received a yellow card.
Also booked on that occasion was Leonardo Ponzio, who saw yellow for dissent, and that was to cost him dearly as in the 63rd minute he was sent off for a second cautionable offence after handling Manu del Moral's cross just outside the area.
Getafe poured forward in the closing stages but could not find either the finish or, in truth, much by way of a meaningful final ball; Zaragoza looked dangerous on the counter once or twice but themselves lacked definition.
Next: a trip to Andalucia on Saturday evening to face Sevilla.