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Travel to Canada for which purpose? If for a short visit, you'll need to apply for a TRV. If you intend to seek asylum in Canada, then the answer is no, you can't seek asylum while being a refugee in another country.
 
You would likely need to prove longtime employment, savings, longterm housing. It is hard to get a TRV.
 
I guess the question was if he needs a visa to enter with Italian travel document.