Battle River—Crowfoot was left vacant when Conservative Damien Kurek stepped down shortly after the spring election to make way for his party's leader, Pierre Poilievre, to run for a seat.
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.
At least 56 people, including two CISF personnel, have been confirmed dead after a massive cloudburst struck Chashoti village near the Machail Mata Shrine in Kishtwar district on Thursday.
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.