Fall Internship Opportunities/Timelines?

So I'm set to complete my first internship in PE this summer, but I'm looking to complete a fall internship to delay my graduation by one semester since I'll gain another summer to recruit again. Does anyone know firms that take fall interns, and what the recruitment timeline/process looks like for these off-cycle internships? I'm Canadian, so looking mostly in country but obviously good with US if they would take an international. Cheers for the help!