Muslim immigration is the last wave of migration in Canada. A quarter of a century ago things changed profoundly. Tens of thousands of people from Muslim states have settled in Canada. This Muslim community, most of whom are young, physically immigrated to Canada, but leaving the country of origin the emigrant carries with him all the customs, culture and landmarks that found his convictions and form his personality. In addition, Sharia has entered Canadian administrations and courts, including Quebec. A number of Islamic issues are at the center of discussions in Quebec's Parliament. This has generated, therefore, an inevitable conflict between Quebec and Muslim norms. This conflict profoundly affects the lives of Muslims in their relations with others in Quebec. The profound cultural divergences caused by migratory flows transform into international private law into a conflict of jurisdictions and a conflict of laws. But, this is in no way a conflict of civilization.