CHESTER were forced to share the spoils in the noon shoot out.
Chester enjoyed more possession and played more football during a goalless opening half.
Many Blues fans believed the visitors should have been reduced to 10 men in the tenth minute after striker Joe Anyinsah, had clattered into Kevin McIntyre.
Anyinsah was shown a yellow card after Chester had settled quickest after a frenetic start to the clash.
Chester appealed for a penalty in the 18th miniute when Gareth Seddon's goalbound shot from a John Rooney corner hit a defender, but the referee ignored the appeals.
Wrexham offered very little going forward, but Chester also failed to seriously test visiting keeper Joslain Mayebi before the break.
Rooney created problems for Mayebi after the break with a number of goalscoring opportunities, but the Wrexham shot-stopper was equal to his efforts.
And Wrexham looked dangerous when Andy Bishop saw his goalbound shot blocked by Paul Linwood.
But both sides failed to find the target despite playing five minutes of stoppage time.
CHESTER (4-4-2): Chapman; Griffin, Horan (Ashworth 63), Linwood, McIntyre; L Turner (Menagh 88), Bond (Mahon 72), Jarrett, Rooney; Seddon, Carlton. Subs (not used): Danby, Hobson.
WREXHAM (4-4-2): Mayebi; Carrington, Artell, Livesey, Ashton; Bailey-Jones, Clarke, Keates, Hunt; Bishop, Anyinsah (Reid 64). Subs (not used): Wright, Williams, Tomassen, Evans.
REFEREE: Darren Handley (Bolton).