Jake Hessenthaler's wayward strike moments before half time was as close as the visitors came to breaching the Latics' defence before the break.
Within minutes of the restart, Oldham ought to have been ahead as Carl Winchester and Philliskirk both had opportunities to score.
Oldham continued to enjoy the greater of the attacking play, but continued to be wasteful in front of goal.
Indeed, they could have lost the game late on when both Cody McDonald and Brennan Dickinson came close to an unlikely winner.
In the end, the two sides were forced to play out a draw that leaves them firmly in midtable in League One.