Espanyol inflicted a sixth successive La Liga defeat on Cordoba courtesy of a 1-0 win in Catalonia this evening.
Abraham's first-half strike was enough to separate the sides at the Estadi Cornella-El Prat and leave Cordoba rooted to the bottom of the table.
It was the midfielder's first goal since joining Espanyol in the summer of 2013 and a worthy winner as he drilled into the bottom corner from 25 yards following Felipe Caicedo's 43rd-minute knockdown.
Cordoba enjoyed 63% possession after the break, but they never built sustained pressure on the Espanyol goal as a number of free kicks and seven second-half yellow cards constantly saw the play disrupted.
Florin Andone and former Manchester United forward Bebe wasted their best chances as the visitors hit the target with just two of their 13 attempts to find an equaliser, failing to truly test Espanyol keeper Kiko Casilla.
A seventh home win of the season sees Espanyol climb above Celta Vigo and into ninth place in the table.