Carney last week became the first Canadian prime minister to visit Qatar and the first to visit China since 2017.
In Beijing, Carney said China had become a more predictable partner than the U.S. He is expected to visit India soon, after the two countries restored diplomatic ties and agreed to restart trade talks that had stalled under his predecessor Justin Trudeau.
Canada has also wrapped up trade deals with Ecuador and Indonesia and signed investment agreements with the United Arab Emirates.
Carney's Trade Minister Maninder Sidhu said Canada will next focus on the Philippines, Thailand, Mercosur and Saudi Arabia, as well as India.
"Normally, the government of Canada signs one trade agreement a year," Sidhu said in an interview in Dubai. "We want to make sure we get those done as soon as possible."