I have often suggested that anyone who buys a basket or woven hat should hold it over the white bed cover in their room and shake the he.. out of it. If nothing falls out, then it will be OK. Hopefully if eggs etc fall out, then they will all come out at that time. To be safe, when you get home with the item, put it in the freezer for a day or two.
With timber items, the Quarantine Dept is looking for wood borers. These can easily be identified by the tiny holes they leave. Sometimes sellers will insert a small tack into the hole to camouflage it so if there is a tack in a spot where there is no obvious reason, it is likely hammered into a borer hole.