Celtic midfielder OIivier Ntcham was sent off in the 36th minute of the Scottish Premiership encounter for picking up the second of two yellow cards.
Parkhead boss Brendan Rodgers reorganised his side and they looked a bit more like themselves in the second half, but home side St Mirren battled for the clean sheet.
Socceroos playmaker Rogic played a full game for Celtic - picking up a yellow card in the process - while fellow Aussie Ryan Edwards made his debut for St Mirren after joining the club on loan from Heart of Midlothian, and he managed to pick up a caution within the first couple of minutes.
It was a welcome point for the Paisley side, who had lost their previous three league games - a run which, in part, had led to the departure of manager Alan Stubbs.
However, Rodgers would have been looking for much more from his side - especially before Ntcham's dismissal.
