@Rillowen
bind weed is very difficult. In the past, prior to bad now repaired knees, I spent a good week digging up and eliminating bindweed on the west edge of my 4 car garage. I used a shovel, a painter's bucket and I cleaned the soil from bindweed runners in a wheelbarrow, then amended it an put it back into the bed. Gotta do it aGAIN.
Best practice is to pull bindweed when you can AND toss it in the garbage!
If you throw it on the lawn it will REGROW.
Probably the wind carried seeds into your compost.
I Know it's hard work, but keeping the pods from forming end of season--they will look like an alien invasion, like
https://www.imdb.com/title/tt0077745/. They disperse their seeds with parachutes in the Fall. THAT is possibly where you got some growing in your compost.
You then have ALL WINTER to grab the pods you missed and dispose of them.