The Prime Minister said an arrangement is being held by jealousy in Ottawa to"let an excessive amount of British cheese" to the current market, and insisted it's only the thing which is"really wanted" by Canadian sellers.
Liz Truss, the global commerce secretary, said Britain needs the deal to become"pioneering in services and digital trade, and bolder in our responsibilities to the environment"
He explained:"I am hopeful that we'll have the ability to perform a thoroughgoing free trade deal.
"I think what is really needed now is cheaper, high quality British cheese Canada and I trust that we could perform a deal to permit that."
He added:"We are very hopeful we could perform a terrific thing.
"There are large opportunities for Canadian company here in the UK: we are a giant sector."
Last year Canada and Britain signed a contract to keep their pre-Brexit trading arrangements.
This bonded tariff-free exports 98 percent of merchandise heading into Canada.
However, London would like to hit an improved deal to open the marketplace to British companies and farmers.
The UK stated new discussions would start at the conclusion of the year.