A victory for Denmark would have moved them to within touching distance of the knockout stage, but Jedinak's 38th-minute spot kick following a VAR review saw the points shared.
Denmark have moved to the top of the section on four points, with Australia still in third on a single point. France, however, will rise to the summit - securing their spot in the knockout round in the process - if they beat Peru later this afternoon.
Read how it all unfolded in Sports Mole's minute-by-minute live commentary of the action below.
DEN: Schmeichel; Dalsgaard, Kjaer, Christensen, Larsen; Delaney, Schone; Poulsen, Eriksen, Sisto; N.Jorgensen
AUS: Ryan; Risdon, Milligan, Sainsbury, Behich; Jedinak, Rogic, Mooy; Kruse, Nabbout, Leckie