He is urging both sides to quickly resolve the situation that is causing major travel chaos for Canadian and international travellers.
On his way into the meeting, Carney told reporters the pair will focus on aspects of the Canadian economy that "we can control."
The order came as picketers continued to march around the Terminal 1 departure doors at Toronto Pearson International Airport early Monday morning.
Air Canada warned it is cancelling around 500 flights previously scheduled to take off today in anticipation of the work stoppage, with a full halt looming Saturday.
The sixth round of talks wrapped up in Geneva today without consensus on a legally-binding international treaty.
Premier Danielle Smith and members of her Alberta Next panel drew its biggest crowd yet -- nearly 750 people -- in Edmonton to brainstorm about possible future referendum questions.