04:46 GMT
Jessica Murphy
BBC News, Toronto
Image source, Getty ImagesThe Canadian delegation is under domestic pressure to bring up the case of Jimmy Lai, a British citizen and Hong Kong media mogul who also has family ties to Canada.
A pro-democracy advocate, Lai is incarcerated in China having been found guilty on national security charges.
Canada has joined other G7 nations in calling on Hong Kong to release him.
Carney will also be expected to raise concerns about alleged Chinese interference in Canadian elections – a claim that China denies.
Canadian intelligence agencies say China has been the most active state conducting such activities in the country, including acts of transnational repression of Chinese Canadian communities.
And Carney is being pushed to more widely address concerns around human rights.
“Prime Minister Carney should recognise that the Chinese government’s deepening repression threatens not just the rights of people in China but, increasingly, Canada’s core interests and values,” said Maya Wang, the deputy Asia director at Human Rights Watch in a statement last week.
Navigating those issues while trying to maintain a relationship with Beijing has long been a challenge for Canadian leaders, who have in the past tried various tactics, from addressing the concerns behind closed doors to more public criticism.