c1gmlm wrote

I just replaced our light fixtures in our basement with LED can lights.
When I turned off the lights at the switch, I noticed that the LEDs
were still dimly lit. Would there be some stray current that wouldn't
be enough for an incandescent light to work but is enough for an LED.

Yes, not that uncommon with some less than ideal light wiring.

Or just a faulty switch

Switches dont normally fail like that.

Can also be a dimmer if one is involved.