Canada shares a border with Greenland, which is an autonomous territory of Denmark, which is part of the EU.
I know it's a stretch... but it's there 😁
An EEA agreement could be a start, then see how things go on from there. With the USA's isolationist politics, USA might no longer be a viable largest trade partner for Canada.
The US is actively shrinking its "sphere of influence". Just look at USAID: a worldwide sphere of influence, shutting down as we speak.