Any deal will be based on the EU/Canada deal which took seven years to negotiate and formally takes effect from Thursday this week.
Britain is Canada's largest trading partner in Europe and can take advantage of CETA as long as it remains a part of the European Union, but not after Brexit in 2019.
And she will show her efficiency when she looks to secure a number of lucrative deals when speaking to a host of Canadian business leaders in an effort to secure a number of deals.
Under EU laws, the United Kingdom was prohibited from sealing a foreign trade agreement until such a time as it finalises its exit from the bloc, so instead has set up "working groups" overseas in nations such as Japan and the USA, as well as one with yet another Commonwealth partner in Australia.
But it is unclear if this will be possible during the transition period, which is expected to last two or three years after Britain leaves in March 2019.
THE CANADIAN PRESS/Justin Tang Prime Minister Justin Trudeau and British Prime Minister Theresa May walk in the Hall of Honour on Parliament Hill in Ottawa during a visit on Monday, Sept. 18, 2017.
May hopes to boost Bombardier on trade mission to Canada
May and Trudeau are also expected to discuss the ongoing dispute between Boeing and Bombardier during their meeting, according to a report from the Globe and Mail.
"We are both countries with ambitions to lead on the world stage and progressive values that underpin those ambitions, values including the importance of free trade, and respect for global law".
His comments drew praise from eurosceptic members of his Conservative party, while others saw it as an attempt to force May's hand ahead of a Friday speech in the Italian city of Florence, when she will give an update on her plans and the progress of negotiations with the EU.
Mrs May will also welcome the appointment of Brigg & Goole MP Andrew Percy as her trade envoy to Canada.
The UK-Canada bilateral trade relationship is worth £15.2bn annually to both economies, with £1.75bn Canadian money having been invested in the UK since March.More news: Emmy Awards: The Complete List of Presenters
More news: Greg Olsen Ruled out vs. Bills with Foot Injury
More news: Here's What Trump And Clinton Voters Watch