Yes, students from Canada can extend their stay in Luxembourg after graduating from their study program. International graduates can apply to lengthen their stay in Luxembourg for up to a year after getting their degree to find a job or start a company. This lets them stay in the country legally as they move into the working world. To apply, students need to show they've graduated, have enough money, and have health insurance. After they get a job, they can apply for a work or professional residence permit so they can stay longer. This is a usual way for people to work in the EU.